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23131831125 = 3531337257499
BaseRepresentation
bin10101100010110000…
…111011101101010101
32012201002121202220010
4111202300323231111
5334333222044000
614343203230433
71446141214614
oct254260735525
965632552803
1023131831125
1198a0352107
124596978419
132248499250
14119620787b
15905ba0d50
hex562c3bb55

23131831125 has 128 divisors (see below), whose sum is σ = 42823872000. Its totient is φ = 11014963200.

The previous prime is 23131831111. The next prime is 23131831183. The reversal of 23131831125 is 52113813132.

It is not a de Polignac number, because 23131831125 - 210 = 23131830101 is a prime.

It is a super-2 number, since 2×231318311252 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23131831092 and 23131831101.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 46356126 + ... + 46356624.

It is an arithmetic number, because the mean of its divisors is an integer number (334561500).

Almost surely, 223131831125 is an apocalyptic number.

23131831125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23131831125 is a deficient number, since it is larger than the sum of its proper divisors (19692040875).

23131831125 is a wasteful number, since it uses less digits than its factorization.

23131831125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The spelling of 23131831125 in words is "twenty-three billion, one hundred thirty-one million, eight hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 37 39 65 75 111 125 185 195 257 325 375 481 499 555 771 925 975 1285 1443 1497 1625 2405 2495 2775 3341 3855 4625 4875 6425 6487 7215 7485 9509 10023 12025 12475 13875 16705 18463 19275 19461 28527 32125 32435 36075 37425 47545 50115 55389 60125 62375 83525 92315 96375 97305 123617 128243 142635 162175 180375 187125 237725 240019 250575 276945 370851 384729 417625 461575 486525 618085 641215 713175 720057 810875 1188625 1200095 1252875 1384725 1667159 1854255 1923645 2307875 2432625 3090425 3206075 3565875 3600285 4744991 5001477 6000475 6923625 8335795 9271275 9618225 14234973 15452125 16030375 18001425 23724955 25007385 30002375 41678975 46356375 48091125 61684883 71174865 90007125 118624775 125036925 185054649 208394875 308424415 355874325 593123875 625184625 925273245 1542122075 1779371625 4626366225 7710610375 23131831125