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10524504053116 = 22435383137101531
BaseRepresentation
bin1001100100100110110101…
…0100110101010101111100
31101021010120210010211122201
42121021231110311111330
52334413141014144431
634214520155121244
72134241010262024
oct231115524652574
941233523124581
1010524504053116
11339846518a289
12121b877143224
135b45c1b464c1
142855628baa84
15133b76e31461
hex9926d53557c

10524504053116 has 96 divisors (see below), whose sum is σ = 19575181156608. Its totient is φ = 4945722862080.

The previous prime is 10524504053099. The next prime is 10524504053117. The reversal of 10524504053116 is 61135040542501.

It is a super-2 number, since 2×105245040531162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10524504053117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103607271 + ... + 103708801.

It is an arithmetic number, because the mean of its divisors is an integer number (203908137048).

Almost surely, 210524504053116 is an apocalyptic number.

It is an amenable number.

10524504053116 is a deficient number, since it is larger than the sum of its proper divisors (9050677103492).

10524504053116 is a wasteful number, since it uses less digits than its factorization.

10524504053116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101851 (or 101849 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 10524504053116 its reverse (61135040542501), we get a palindrome (71659544595617).

The spelling of 10524504053116 in words is "ten trillion, five hundred twenty-four billion, five hundred four million, fifty-three thousand, one hundred sixteen".

Divisors: 1 2 4 43 53 83 86 106 137 166 172 212 274 332 548 2279 3569 4399 4558 5891 7138 7261 8798 9116 11371 11782 14276 14522 17596 22742 23564 29044 45484 101531 189157 203062 312223 378314 406124 488953 602663 624446 756628 977906 1205326 1248892 1955812 2410652 4365833 5381143 8427073 8731666 10762286 13909747 16854146 17463332 21524572 25914509 27819494 33708292 51829018 55638988 103658036 231389149 362364139 446634869 462778298 598119121 724728278 737216591 893269738 925556596 1154509001 1196238242 1449456556 1474433182 1786539476 2309018002 2392476484 2948866364 4618036004 19205299367 31700313413 38410598734 49643887043 61188977053 63400626826 76821197468 99287774086 122377954106 126801253652 198575548172 244755908212 2631126013279 5262252026558 10524504053116