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20123152300836 = 223313107449133391
BaseRepresentation
bin1001001001101010010010…
…10110000011101100100100
32122020202101002020120222000
410210311021112003230210
510114144203442111321
6110444240515205300
74144564321221504
oct444651126035444
978222332216860
1020123152300836
1164591a9956462
122310002ba6830
13b2c7b35a8870
144d7d740d3a04
1524d6b1966826
hex124d49583b24

20123152300836 has 96 divisors (see below), whose sum is σ = 56185243968000. Its totient is φ = 6191635127040.

The previous prime is 20123152300813. The next prime is 20123152300837. The reversal of 20123152300836 is 63800325132102.

20123152300836 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 315 + 2 + 300 + 8 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20123152300836.

It is not an unprimeable number, because it can be changed into a prime (20123152300837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150791701 + ... + 150925091.

It is an arithmetic number, because the mean of its divisors is an integer number (585262958000).

Almost surely, 220123152300836 is an apocalyptic number.

20123152300836 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20123152300836 is an abundant number, since it is smaller than the sum of its proper divisors (36062091667164).

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

20123152300836 is a wasteful number, since it uses less digits than its factorization.

20123152300836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240866 (or 240858 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 20123152300836 its reverse (63800325132102), we get a palindrome (83923477432938).

The spelling of 20123152300836 in words is "twenty trillion, one hundred twenty-three billion, one hundred fifty-two million, three hundred thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 107449 133391 214898 266782 322347 400173 429796 533564 644694 800346 967041 1200519 1289388 1396837 1600692 1734083 1934082 2401038 2793674 2901123 3468166 3601557 3868164 4190511 4802076 5202249 5587348 5802246 6936332 7203114 8381022 10404498 11604492 12571533 14406228 15606747 16762044 20808996 25143066 31213494 37714599 46820241 50286132 62426988 75429198 93640482 150858396 187280964 14332729559 28665459118 42998188677 57330918236 85996377354 128994566031 171992754708 186325484267 257989132062 372650968534 386983698093 515978264124 558976452801 745301937068 773967396186 1117952905602 1547934792372 1676929358403 2235905811204 3353858716806 5030788075209 6707717433612 10061576150418 20123152300836