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23210113120 = 255413538127
BaseRepresentation
bin10101100111011011…
…100011100001100000
32012220112220220121021
4111213123203201200
5340013242104440
614355041135224
71451111464165
oct254733434140
965815826537
1023210113120
11993055a577
1245b902a514
13225b77765c
1411a278406c
1590c9b584a
hex5676e3860

23210113120 has 48 divisors (see below), whose sum is σ = 56171320128. Its totient is φ = 9057602560.

The previous prime is 23210113099. The next prime is 23210113127. The reversal of 23210113120 is 2131101232.

It is a super-2 number, since 2×232101131202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23210113094 and 23210113103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23210113127) 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 7 ways as a sum of consecutive naturals, for example, 1762504 + ... + 1775623.

It is an arithmetic number, because the mean of its divisors is an integer number (1170235836).

Almost surely, 223210113120 is an apocalyptic number.

23210113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23210113120 is an abundant number, since it is smaller than the sum of its proper divisors (32961207008).

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

23210113120 is a wasteful number, since it uses less digits than its factorization.

23210113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538183 (or 3538175 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 23210113120 its reverse (2131101232), we get a palindrome (25341214352).

The spelling of 23210113120 in words is "twenty-three billion, two hundred ten million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 3538127 7076254 14152508 17690635 28305016 35381270 56610032 70762540 113220064 141525080 145063207 283050160 290126414 566100320 580252828 725316035 1160505656 1450632070 2321011312 2901264140 4642022624 5802528280 11605056560 23210113120