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23203023120 = 24325246713063
BaseRepresentation
bin10101100111000000…
…100000100100010000
32012220001120200221200
4111213000200210100
5340004433214440
614354225151200
71450664304504
oct254700404420
965801520850
1023203023120
119927557772
1245b678b500
13225a1644a4
1411a185a304
1590c064c30
hex567020910

23203023120 has 120 divisors (see below), whose sum is σ = 77961039936. Its totient is φ = 6184491264.

The previous prime is 23203023119. The next prime is 23203023131. The reversal of 23203023120 is 2132030232.

It is a happy number.

23203023120 is a `hidden beast` number, since 2 + 320 + 30 + 2 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 23203023093 and 23203023102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1769709 + ... + 1782771.

Almost surely, 223203023120 is an apocalyptic number.

23203023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23203023120 is an abundant number, since it is smaller than the sum of its proper divisors (54758016816).

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

23203023120 is a wasteful number, since it uses less digits than its factorization.

23203023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15549 (or 15540 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23203023120 its reverse (2132030232), we get a palindrome (25335053352).

The spelling of 23203023120 in words is "twenty-three billion, two hundred three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2467 4934 7401 9868 12335 13063 14802 19736 22203 24670 26126 29604 37005 39189 39472 44406 49340 52252 59208 65315 74010 78378 88812 98680 104504 111015 117567 118416 130630 148020 156756 177624 195945 197360 209008 222030 235134 261260 296040 313512 355248 391890 444060 470268 522520 587835 592080 627024 783780 888120 940536 1045040 1175670 1567560 1776240 1881072 2351340 3135120 4702680 9405360 32226421 64452842 96679263 128905684 161132105 193358526 257811368 290037789 322264210 386717052 483396315 515622736 580075578 644528420 773434104 966792630 1160151156 1289056840 1450188945 1546868208 1933585260 2320302312 2578113680 2900377890 3867170520 4640604624 5800755780 7734341040 11601511560 23203023120