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23010220131093 = 32131237283756041
BaseRepresentation
bin1010011101101011110111…
…11111110100001100010101
310000110202101210201020022200
411032311323333310030111
511003444412323143333
6120534425454315113
74563301463661366
oct516657377641425
9100422353636280
1023010220131093
117371641430548
1226b76501b8a99
13cabb152b6390
145979b4619b6d
1529d83696bc13
hex14ed7bff4315

23010220131093 has 48 divisors (see below), whose sum is σ = 35835878013936. Its totient is φ = 14143448724480.

The previous prime is 23010220131049. The next prime is 23010220131109. The reversal of 23010220131093 is 39013102201032.

23010220131093 is a `hidden beast` number, since 2 + 30 + 10 + 220 + 1 + 310 + 93 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1140970058244 + 21869250072849 = 1068162^2 + 4676457^2 .

It is not a de Polignac number, because 23010220131093 - 28 = 23010220130837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23010220131013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410568153 + ... + 410624193.

It is an arithmetic number, because the mean of its divisors is an integer number (746580791957).

Almost surely, 223010220131093 is an apocalyptic number.

It is an amenable number.

23010220131093 is a deficient number, since it is larger than the sum of its proper divisors (12825657882843).

23010220131093 is a wasteful number, since it uses less digits than its factorization.

23010220131093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60134 (or 60131 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 23010220131093 in words is "twenty-three trillion, ten billion, two hundred twenty million, one hundred thirty-one thousand, ninety-three".

Divisors: 1 3 9 13 39 117 1237 2837 3711 8511 11133 16081 25533 36881 48243 56041 110643 144729 168123 331929 504369 728533 2185599 3509369 6556797 10528107 31584321 45621797 69322717 136865391 158988317 207968151 410596173 476964951 623904453 901195321 1430894853 2066848121 2703585963 6200544363 8110757889 18601633089 196668548129 590005644387 1770016933161 2556691125677 7670073377031 23010220131093