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23020431120 = 2433510657607
BaseRepresentation
bin10101011100000111…
…111110011100010000
32012102100000001211000
4111130013332130100
5334121212243440
614324143422000
71443316302351
oct253407763420
965370001730
1023020431120
119843484695
1245655b4900
13222b39389b
1411854c9d28
158eaee8730
hex55c1fe710

23020431120 has 80 divisors (see below), whose sum is σ = 79292603520. Its totient is φ = 6138781056.

The previous prime is 23020431113. The next prime is 23020431127. The reversal of 23020431120 is 2113402032.

23020431120 is a `hidden beast` number, since 230 + 2 + 0 + 431 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23020431113) and next prime (23020431127).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 23020431093 and 23020431102.

It is not an unprimeable number, because it can be changed into a prime (23020431127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5326644 + ... + 5330963.

It is an arithmetic number, because the mean of its divisors is an integer number (991157544).

Almost surely, 223020431120 is an apocalyptic number.

23020431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23020431120 is an abundant number, since it is smaller than the sum of its proper divisors (56272172400).

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

23020431120 is a wasteful number, since it uses less digits than its factorization.

23020431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657629 (or 10657617 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23020431120 its reverse (2113402032), we get a palindrome (25133833152).

The spelling of 23020431120 in words is "twenty-three billion, twenty million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 10657607 21315214 31972821 42630428 53288035 63945642 85260856 95918463 106576070 127891284 159864105 170521712 191836926 213152140 255782568 287755389 319728210 383673852 426304280 479592315 511565136 575510778 639456420 767347704 852608560 959184630 1151021556 1278912840 1438776945 1534695408 1918369260 2302043112 2557825680 2877553890 3836738520 4604086224 5755107780 7673477040 11510215560 23020431120