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10230302320 = 245725774523
BaseRepresentation
bin10011000011100011…
…00000011001110000
3222101222010012111221
421201301200121300
5131422424133240
64411050514424
7511342064200
oct114161403160
928358105457
1010230302320
11437a814607
121b96135a14
13c70624234
146d0992400
153ed200a4a
hex261c60670

10230302320 has 120 divisors (see below), whose sum is σ = 27722872944. Its totient is φ = 3500679168.

The previous prime is 10230302317. The next prime is 10230302321. The reversal of 10230302320 is 2320303201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10230302294 and 10230302303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230302321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2259579 + ... + 2264101.

Almost surely, 210230302320 is an apocalyptic number.

10230302320 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 10230302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13861436472).

10230302320 is an abundant number, since it is smaller than the sum of its proper divisors (17492570624).

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

10230302320 is a wasteful number, since it uses less digits than its factorization.

10230302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10230302320 its reverse (2320303201), we get a palindrome (12550605521).

The spelling of 10230302320 in words is "ten billion, two hundred thirty million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 577 784 980 1154 1960 2308 2885 3920 4039 4523 4616 5770 8078 9046 9232 11540 16156 18092 20195 22615 23080 28273 31661 32312 36184 40390 45230 46160 56546 63322 64624 72368 80780 90460 113092 126644 141365 158305 161560 180920 221627 226184 253288 282730 316610 323120 361840 443254 452368 506576 565460 633220 886508 1108135 1130920 1266440 1773016 2216270 2261840 2532880 2609771 3546032 4432540 5219542 8865080 10439084 13048855 17730160 18268397 20878168 26097710 36536794 41756336 52195420 73073588 91341985 104390840 127878779 146147176 182683970 208781680 255757558 292294352 365367940 511515116 639393895 730735880 1023030232 1278787790 1461471760 2046060464 2557575580 5115151160 10230302320