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10123636413631 = 1337712441121441
BaseRepresentation
bin1001001101010001011111…
…0000001001010010111111
31022211210212121221211001011
42103110113300021102333
52311331201410214011
633310422342300051
72063260101461566
oct223242760112277
938753777854034
1010123636413631
113253456918564
121176041427627
13585868832020
1426ddb53c2bdd
1512851429e621
hex93517c094bf

10123636413631 has 32 divisors (see below), whose sum is σ = 11359486486656. Its totient is φ = 8960523264000.

The previous prime is 10123636413619. The next prime is 10123636413659. The reversal of 10123636413631 is 13631463632101.

10123636413631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10123636413631 - 25 = 10123636413599 is a prime.

It is a super-2 number, since 2×101236364136312 (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 (10123636413031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83301871 + ... + 83423311.

It is an arithmetic number, because the mean of its divisors is an integer number (354983952708).

Almost surely, 210123636413631 is an apocalyptic number.

10123636413631 is a deficient number, since it is larger than the sum of its proper divisors (1235850073025).

10123636413631 is a wasteful number, since it uses less digits than its factorization.

10123636413631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124003.

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 10123636413631 in words is "ten trillion, one hundred twenty-three billion, six hundred thirty-six million, four hundred thirteen thousand, six hundred thirty-one".

Divisors: 1 13 37 71 481 923 2441 2627 31733 34151 90317 121441 173311 1174121 1578733 2253043 4493317 6412507 8622311 58413121 83362591 112090043 296437481 319025507 3853687253 4147331591 10968186797 21047061151 142586428361 273611794963 778741262587 10123636413631