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23123031314120 = 2356759123145933
BaseRepresentation
bin1010100000111110000000…
…00100010100111011001000
310000212112120210212002211122
411100133000010110323020
511012321432004022440
6121102323545414412
74604404162134623
oct520370004247310
9100775523762748
1023123031314120
1174054713a7011
12271549449a408
13cb965302769a
1459d236cd4dba
152a173a75c7b5
hex1507c0114ec8

23123031314120 has 64 divisors (see below), whose sum is σ = 52804595113920. Its totient is φ = 9110948039424.

The previous prime is 23123031314039. The next prime is 23123031314129. The reversal of 23123031314120 is 2141313032132.

It is a happy number.

It is a super-2 number, since 2×231230313141202 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23123031314120.

It is not an unprimeable number, because it can be changed into a prime (23123031314129) 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 15 ways as a sum of consecutive naturals, for example, 158376674 + ... + 158522606.

It is an arithmetic number, because the mean of its divisors is an integer number (825071798655).

Almost surely, 223123031314120 is an apocalyptic number.

23123031314120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23123031314120 is an abundant number, since it is smaller than the sum of its proper divisors (29681563799800).

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

23123031314120 is a wasteful number, since it uses less digits than its factorization.

23123031314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205134 (or 205130 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 23123031314120 its reverse (2141313032132), we get a palindrome (25264344346252).

The spelling of 23123031314120 in words is "twenty-three trillion, one hundred twenty-three billion, thirty-one million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 59123 118246 145933 236492 291866 295615 472984 583732 591230 729665 1167464 1182460 1459330 2364920 2918660 3961241 5837320 7922482 9777511 15844964 19555022 19806205 31689928 39110044 39612410 48887555 78220088 79224820 97775110 158449640 195550220 391100440 8627996759 17255993518 34511987036 43139983795 69023974072 86279967590 172559935180 345119870360 578075782853 1156151565706 2312303131412 2890378914265 4624606262824 5780757828530 11561515657060 23123031314120