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10231032032 = 2513296611283
BaseRepresentation
bin10011000011101000…
…10010100011100000
3222102000111021111022
421201310102203200
5131423121011112
64411114305012
7511351223504
oct114164224340
928360437438
1010231032032
114380172881
121b96428168
13c7081b410
146d0b02304
153ed2e6d72
hex261d128e0

10231032032 has 96 divisors (see below), whose sum is σ = 22491211680. Its totient is φ = 4548741120.

The previous prime is 10231031983. The next prime is 10231032037. The reversal of 10231032032 is 23023013201.

It is a self number, because there is not a number n which added to its sum of digits gives 10231032032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231032037) 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 15 ways as a sum of consecutive naturals, for example, 7973663 + ... + 7974945.

It is an arithmetic number, because the mean of its divisors is an integer number (234283455).

Almost surely, 210231032032 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 10231032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245605840).

10231032032 is an abundant number, since it is smaller than the sum of its proper divisors (12260179648).

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

10231032032 is a wasteful number, since it uses less digits than its factorization.

10231032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10231032032 its reverse (23023013201), we get a palindrome (33254045233).

The spelling of 10231032032 in words is "ten billion, two hundred thirty-one million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 661 754 928 1283 1322 1508 2566 2644 3016 5132 5288 6032 8593 10264 10576 12064 16679 17186 19169 20528 21152 33358 34372 37207 38338 41056 66716 68744 74414 76676 133432 137488 148828 153352 249197 266864 274976 297656 306704 483691 498394 533728 595312 613408 848063 967382 996788 1190624 1696126 1934764 1993576 3392252 3869528 3987152 6784504 7739056 7974304 11024819 13569008 15478112 22049638 24593827 27138016 44099276 49187654 88198552 98375308 176397104 196750616 319719751 352794208 393501232 639439502 787002464 1278879004 2557758008 5115516016 10231032032