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23145000120 = 23325115844697
BaseRepresentation
bin10101100011100011…
…001010110010111000
32012202000101211100200
4111203203022302320
5334400110000440
614344353402200
71446361153314
oct254343126270
965660354320
1023145000120
1198a7827180
12459b269360
13224b12a358
141197c74b44
15906e02c30
hex5638cacb8

23145000120 has 96 divisors (see below), whose sum is σ = 82059559920. Its totient is φ = 5610908160.

The previous prime is 23145000113. The next prime is 23145000127. The reversal of 23145000120 is 2100054132.

It is an interprime number because it is at equal distance from previous prime (23145000113) and next prime (23145000127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23145000093 and 23145000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23145000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2918389 + ... + 2926308.

Almost surely, 223145000120 is an apocalyptic number.

23145000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23145000120 is an abundant number, since it is smaller than the sum of its proper divisors (58914559800).

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

23145000120 is a wasteful number, since it uses less digits than its factorization.

23145000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844725 (or 5844718 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 23145000120 its reverse (2100054132), we get a palindrome (25245054252).

The spelling of 23145000120 in words is "twenty-three billion, one hundred forty-five million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5844697 11689394 17534091 23378788 29223485 35068182 46757576 52602273 58446970 64291667 70136364 87670455 105204546 116893940 128583334 140272728 175340910 192875001 210409092 233787880 257166668 263011365 321458335 350681820 385750002 420818184 514333336 526022730 578625003 642916670 701363640 771500004 964375005 1052045460 1157250006 1285833340 1543000008 1928750010 2104090920 2314500012 2571666680 2893125015 3857500020 4629000024 5786250030 7715000040 11572500060 23145000120