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123315325321331 = 112131574311158541
BaseRepresentation
bin11100000010011110010110…
…001010010100000001110011
3121011121211102001021022210102
4130002132112022110001303
5112130344241240240311
61114134140044223015
734655144501354003
oct3402362612240163
9534554361238712
10123315325321331
1136323810357a00
12119b7404b3aa6b
1353a677bb29840
1422646ca5b4003
15e3caabbce43b
hex702796294073

123315325321331 has 48 divisors (see below), whose sum is σ = 147242198404224. Its totient is φ = 102583619424000.

The previous prime is 123315325321301. The next prime is 123315325321369. The reversal of 123315325321331 is 133123523513321.

It is not a de Polignac number, because 123315325321331 - 210 = 123315325320307 is a prime.

It is a super-2 number, since 2×1233153253213312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123315325321301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105860921 + ... + 107019461.

It is an arithmetic number, because the mean of its divisors is an integer number (3067545800088).

Almost surely, 2123315325321331 is an apocalyptic number.

123315325321331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123315325321331 is a deficient number, since it is larger than the sum of its proper divisors (23926873082893).

123315325321331 is a wasteful number, since it uses less digits than its factorization.

123315325321331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159164 (or 1159153 counting only the distinct ones).

The product of its digits is 145800, while the sum is 38.

Adding to 123315325321331 its reverse (133123523513321), we get a palindrome (256438848834652).

The spelling of 123315325321331 in words is "one hundred twenty-three trillion, three hundred fifteen billion, three hundred twenty-five million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 11 13 121 143 157 431 1573 1727 2041 4741 5603 18997 22451 52151 61633 67667 246961 677963 744337 879671 1158541 8187707 9676381 12743951 15061033 106440191 140183461 165671363 181890937 499331171 1822384993 2000800307 2364582181 5492642881 6491305223 22008803377 26010403991 60419071691 71404357453 78394993847 286114443901 785447931983 862344932317 1019134920011 9485794255487 11210484120121 123315325321331