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10302230030220 = 22325239313765097
BaseRepresentation
bin1001010111101010110011…
…0000101110011110001100
31100110212212010100112221100
42111322230300232132030
52322242431341431340
633524440143303100
72112211602251532
oct225725460563614
940425763315840
1010302230030220
113312173300aa7
1211a4783baaa90
1359965aca142b
142788b84c8152
1512ceb82a1830
hex95eacc2e78c

10302230030220 has 144 divisors (see below), whose sum is σ = 31481150762880. Its totient is φ = 2727022491648.

The previous prime is 10302230030207. The next prime is 10302230030221. The reversal of 10302230030220 is 2203003220301.

It is a happy number.

10302230030220 is a `hidden beast` number, since 10 + 30 + 2 + 2 + 300 + 302 + 20 = 666.

It is a super-2 number, since 2×103022300302202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10302230030193 and 10302230030202.

It is not an unprimeable number, because it can be changed into a prime (10302230030221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13082712 + ... + 13847808.

It is an arithmetic number, because the mean of its divisors is an integer number (218619102520).

Almost surely, 210302230030220 is an apocalyptic number.

10302230030220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302230030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740575381440).

10302230030220 is an abundant number, since it is smaller than the sum of its proper divisors (21178920732660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10302230030220 is a wasteful number, since it uses less digits than its factorization.

10302230030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765664 (or 765659 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10302230030220 its reverse (2203003220301), we get a palindrome (12505233250521).

The spelling of 10302230030220 in words is "ten trillion, three hundred two billion, two hundred thirty million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 239 313 478 626 717 939 956 1195 1252 1434 1565 1878 2151 2390 2817 2868 3130 3585 3756 4302 4695 4780 5634 6260 7170 8604 9390 10755 11268 14085 14340 18780 21510 28170 43020 56340 74807 149614 224421 299228 374035 448842 673263 748070 765097 897684 1122105 1346526 1496140 1530194 2244210 2295291 2693052 3060388 3366315 3825485 4488420 4590582 6732630 6885873 7650970 9181164 11476455 13465260 13771746 15301940 22952910 27543492 34429365 45905820 68858730 137717460 182858183 239475361 365716366 478950722 548574549 718426083 731432732 914290915 957901444 1097149098 1197376805 1436852166 1645723647 1828581830 2155278249 2194298196 2394753610 2742872745 2873704332 3291447294 3592130415 3657163660 4310556498 4789507220 5485745490 6582894588 7184260830 8228618235 8621112996 10776391245 10971490980 14368521660 16457236470 21552782490 32914472940 43105564980 57234611279 114469222558 171703833837 228938445116 286173056395 343407667674 515111501511 572346112790 686815335348 858519169185 1030223003022 1144692225580 1717038338370 2060446006044 2575557507555 3434076676740 5151115015110 10302230030220