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23152135110120 = 233457145720713
BaseRepresentation
bin1010100001110100001101…
…10010011111110111101000
310000222022201002210010110000
411100322012302133313220
511013311033042010440
6121123535525023000
74606454330255052
oct520720662376750
9100868632703400
1023152135110120
117416846770785
12271b057254a60
13cbc310824b53
145a07d82d08d2
152a2390859730
hex150e86c9fde8

23152135110120 has 80 divisors (see below), whose sum is σ = 77816898575460. Its totient is φ = 6173902695168.

The previous prime is 23152135110107. The next prime is 23152135110157. The reversal of 23152135110120 is 2101153125132.

23152135110120 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 21 + 3 + 511 + 0 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22982033305764 + 170101804356 = 4793958^2 + 412434^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3572857117 + ... + 3572863596.

Almost surely, 223152135110120 is an apocalyptic number.

23152135110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23152135110120 is an abundant number, since it is smaller than the sum of its proper divisors (54664763465340).

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

23152135110120 is a wasteful number, since it uses less digits than its factorization.

23152135110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7145720736 (or 7145720723 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 23152135110120 its reverse (2101153125132), we get a palindrome (25253288235252).

The spelling of 23152135110120 in words is "twenty-three trillion, one hundred fifty-two billion, one hundred thirty-five million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 7145720713 14291441426 21437162139 28582882852 35728603565 42874324278 57165765704 64311486417 71457207130 85748648556 107185810695 128622972834 142914414260 171497297112 192934459251 214371621390 257245945668 285828828520 321557432085 385868918502 428743242780 514491891336 578803377753 643114864170 771737837004 857486485560 964672296255 1157606755506 1286229728340 1543475674008 1929344592510 2315213511012 2572459456680 2894016888765 3858689185020 4630427022024 5788033777530 7717378370040 11576067555060 23152135110120