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10011304032 = 2534318113399
BaseRepresentation
bin10010101001011100…
…00110000001100000
3221211201000221100020
421110232012001200
5131000343212112
64333224553440
7503042452212
oct112456060140
927751027306
1010011304032
114278135994
121b34922880
13c37147752
146ad8665b2
153d8d9248c
hex254b86060

10011304032 has 96 divisors (see below), whose sum is σ = 27041414400. Its totient is φ = 3241244160.

The previous prime is 10011304031. The next prime is 10011304033. The reversal of 10011304032 is 23040311001.

It is an interprime number because it is at equal distance from previous prime (10011304031) and next prime (10011304033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100113040322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011304031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740469 + ... + 753867.

It is an arithmetic number, because the mean of its divisors is an integer number (281681400).

Almost surely, 210011304032 is an apocalyptic number.

10011304032 is a gapful number since it is divisible by the number (12) 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 10011304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13520707200).

10011304032 is an abundant number, since it is smaller than the sum of its proper divisors (17030110368).

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

10011304032 is a wasteful number, since it uses less digits than its factorization.

10011304032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13636 (or 13628 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10011304032 its reverse (23040311001), we get a palindrome (33051615033).

The spelling of 10011304032 in words is "ten billion, eleven million, three hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 181 258 344 362 516 543 688 724 1032 1086 1376 1448 2064 2172 2896 4128 4344 5792 7783 8688 13399 15566 17376 23349 26798 31132 40197 46698 53596 62264 80394 93396 107192 124528 160788 186792 214384 249056 321576 373584 428768 576157 643152 747168 1152314 1286304 1728471 2304628 2425219 3456942 4609256 4850438 6913884 7275657 9218512 9700876 13827768 14551314 18437024 19401752 27655536 29102628 38803504 55311072 58205256 77607008 104284417 116410512 208568834 232821024 312853251 417137668 625706502 834275336 1251413004 1668550672 2502826008 3337101344 5005652016 10011304032