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101004817192152 = 23313627308837899
BaseRepresentation
bin10110111101110100000100…
…001111111101010011011000
3111020121222002101010200002220
4112331310010033331103120
5101214330331200122102
6554452550014224040
730163233346304256
oct2675640417752330
9436558071120086
10101004817192152
112a2019a2129905
12b3b34b0ab5020
134448937425433
141ad2932d315d6
15ba2578dcc1bc
hex5bdd043fd4d8

101004817192152 has 32 divisors (see below), whose sum is σ = 252530574072000. Its totient is φ = 33665801585184.

The previous prime is 101004817192151. The next prime is 101004817192157. The reversal of 101004817192152 is 251291718400101.

It is a super-2 number, since 2×1010048171921522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004817192151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154091902 + ... + 154745997.

It is an arithmetic number, because the mean of its divisors is an integer number (7891580439750).

Almost surely, 2101004817192152 is an apocalyptic number.

101004817192152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101004817192152 is an abundant number, since it is smaller than the sum of its proper divisors (151525756879848).

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

101004817192152 is a wasteful number, since it uses less digits than its factorization.

101004817192152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308851535 (or 308851531 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 42.

The spelling of 101004817192152 in words is "one hundred one trillion, four billion, eight hundred seventeen million, one hundred ninety-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 13627 27254 40881 54508 81762 109016 163524 327048 308837899 617675798 926513697 1235351596 1853027394 2470703192 3706054788 7412109576 4208534049673 8417068099346 12625602149019 16834136198692 25251204298038 33668272397384 50502408596076 101004817192152