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10011582252 = 22327131303271
BaseRepresentation
bin10010101001011110…
…01001111100101100
3221211201120001222200
421110233021330230
5131000431113002
64333234541500
7503045021310
oct112457117454
927751501880
1010011582252
114278305a21
121b34a37890
13c37214289
146ad8d9b40
153d8de9b1c
hex254bc9f2c

10011582252 has 72 divisors (see below), whose sum is σ = 29143226112. Its totient is φ = 2838607200.

The previous prime is 10011582247. The next prime is 10011582263. The reversal of 10011582252 is 25228511001.

It is a happy number.

It is a super-2 number, since 2×100115822522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118624 + ... + 184647.

Almost surely, 210011582252 is an apocalyptic number.

10011582252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011582252 is an abundant number, since it is smaller than the sum of its proper divisors (19131643860).

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

10011582252 is a wasteful number, since it uses less digits than its factorization.

10011582252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303419 (or 303414 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 10011582252 in words is "ten billion, eleven million, five hundred eighty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1572 1834 2358 2751 3668 4716 5502 8253 11004 16506 33012 303271 606542 909813 1213084 1819626 2122897 2729439 3639252 4245794 5458878 6368691 8491588 10917756 12737382 19106073 25474764 38212146 39728501 76424292 79457002 119185503 158914004 238371006 278099507 357556509 476742012 556199014 715113018 834298521 1112398028 1430226036 1668597042 2502895563 3337194084 5005791126 10011582252