Search a number
-
+
10331200220 = 225112171913217
BaseRepresentation
bin10011001111100100…
…11001101011011100
3222122222222100102012
421213302121223130
5132124241401340
64425053250352
7514005516155
oct114762315334
928588870365
1010331200220
114421769700
122003a939b8
13c884c0633
1470013892c
15406ed1565
hex267c99adc

10331200220 has 144 divisors (see below), whose sum is σ = 26580869280. Its totient is φ = 3349463040.

The previous prime is 10331200219. The next prime is 10331200223. The reversal of 10331200220 is 2200213301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10331200195 and 10331200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331200223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775052 + ... + 788268.

It is an arithmetic number, because the mean of its divisors is an integer number (184589370).

Almost surely, 210331200220 is an apocalyptic number.

10331200220 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 10331200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13290434640).

10331200220 is an abundant number, since it is smaller than the sum of its proper divisors (16249669060).

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

10331200220 is a wasteful number, since it uses less digits than its factorization.

10331200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13284 (or 13271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10331200220 its reverse (2200213301), we get a palindrome (12531413521).

The spelling of 10331200220 in words is "ten billion, three hundred thirty-one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 121 170 187 190 209 220 242 323 340 374 380 418 484 605 646 748 836 935 1045 1210 1292 1615 1870 2057 2090 2299 2420 3230 3553 3740 4114 4180 4598 6460 7106 8228 9196 10285 11495 13217 14212 17765 20570 22990 26434 35530 39083 41140 45980 52868 66085 71060 78166 132170 145387 156332 195415 224689 251123 264340 290774 390830 449378 502246 581548 726935 781660 898756 1004492 1123445 1255615 1453870 1599257 2246890 2471579 2511230 2762353 2907740 3198514 4269091 4493780 4943158 5022460 5524706 6397028 7996285 8538182 9886316 11049412 12357895 13811765 15992570 17076364 21345455 24715790 27187369 27623530 30385883 31985140 42690910 46960001 49431580 54374738 55247060 60771766 85381820 93920002 108749476 121543532 135936845 151929415 187840004 234800005 271873690 303858830 469600010 516560011 543747380 607717660 939200020 1033120022 2066240044 2582800055 5165600110 10331200220