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10130031232 = 27676611787
BaseRepresentation
bin10010110111100110…
…00000001010000000
3222010222102220102221
421123303000022000
5131221241444412
64353105420424
7506013562516
oct113363001200
928128386387
1010130031232
114329158442
121b6863a714
13c55917229
146c15304b6
153e44e5b07
hex25bcc0280

10130031232 has 64 divisors (see below), whose sum is σ = 20524595040. Its totient is φ = 4979082240.

The previous prime is 10130031229. The next prime is 10130031259. The reversal of 10130031232 is 23213003101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×101300312322 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5667843 + ... + 5669629.

Almost surely, 210130031232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262297520).

10130031232 is an abundant number, since it is smaller than the sum of its proper divisors (10394563808).

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

10130031232 is an equidigital number, since it uses as much as digits as its factorization.

10130031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10130031232 its reverse (23213003101), we get a palindrome (33343034333).

The spelling of 10130031232 in words is "ten billion, one hundred thirty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 661 1072 1322 1787 2144 2644 3574 4288 5288 7148 8576 10576 14296 21152 28592 42304 44287 57184 84608 88574 114368 119729 177148 228736 239458 354296 478916 708592 957832 1181207 1417184 1915664 2362414 2834368 3831328 4724828 5668736 7662656 9449656 15325312 18899312 37798624 75597248 79140869 151194496 158281738 316563476 633126952 1266253904 2532507808 5065015616 10130031232