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23015143125 = 3254132910853
BaseRepresentation
bin10101011011110011…
…110011011011010101
32012101222001102001100
4111123303303123111
5334113334040000
614323434220313
71443223326432
oct253363633325
965358042040
1023015143125
1198404a2747
124563884699
13222a2619b0
141184910b89
158ea801a00
hex55bcf36d5

23015143125 has 120 divisors (see below), whose sum is σ = 46284278040. Its totient is φ = 10938816000.

The previous prime is 23015143121. The next prime is 23015143127. The reversal of 23015143125 is 52134151032.

23015143125 is a `hidden beast` number, since 23 + 0 + 1 + 514 + 3 + 125 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 22945887441 + 69255684 = 151479^2 + 8322^2 .

It is not a de Polignac number, because 23015143125 - 22 = 23015143121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23015143121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2115199 + ... + 2126051.

It is an arithmetic number, because the mean of its divisors is an integer number (385702317).

Almost surely, 223015143125 is an apocalyptic number.

23015143125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23015143125 is an abundant number, since it is smaller than the sum of its proper divisors (23269134915).

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

23015143125 is a wasteful number, since it uses less digits than its factorization.

23015143125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10921 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 23015143125 its reverse (52134151032), we get a palindrome (75149294157).

The spelling of 23015143125 in words is "twenty-three billion, fifteen million, one hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 125 145 195 225 261 325 375 377 435 585 625 725 975 1125 1131 1305 1625 1875 1885 2175 2925 3393 3625 4875 5625 5655 6525 8125 9425 10853 10875 14625 16965 18125 24375 28275 32559 32625 47125 54265 54375 73125 84825 97677 141089 141375 162795 163125 235625 271325 314737 423267 424125 488385 705445 706875 813975 944211 1269801 1356625 1573685 2116335 2120625 2441925 2832633 3527225 4069875 4091581 4721055 6349005 6783125 7868425 10581675 12209625 12274743 14163165 17636125 20349375 20457905 23605275 31745025 36824229 39342125 52908375 61048125 61373715 70815825 88180625 102289525 118026375 158725125 184121145 196710625 264541875 306868575 354079125 511447625 590131875 793625625 920605725 1534342875 1770395625 2557238125 4603028625 7671714375 23015143125