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123331020133321 = 71121313980580649
BaseRepresentation
bin11100000010101100111101…
…101001010001001111001001
3121011200022220211211101100101
4130002230331221101033021
5112131123412123231241
61114145253302405401
734656241436146240
oct3402547551211711
9534608824741311
10123331020133321
113632a4346a5500
12119ba465130861
1353a80b05b9740
142265378bc1957
15e3d1c99dde31
hex702b3da513c9

123331020133321 has 48 divisors (see below), whose sum is σ = 168046110736000. Its totient is φ = 88071425038080.

The previous prime is 123331020133283. The next prime is 123331020133357.

It is a happy number.

123331020133321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123331020133321 - 27 = 123331020133193 is a prime.

It is a super-2 number, since 2×1233310201333212 (a number of 29 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 123331020133321.

It is not an unprimeable number, because it can be changed into a prime (123331020133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38759796 + ... + 41820853.

Almost surely, 2123331020133321 is an apocalyptic number.

123331020133321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123331020133321 is a deficient number, since it is larger than the sum of its proper divisors (44715090602679).

123331020133321 is a wasteful number, since it uses less digits than its factorization.

123331020133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80580830 (or 80580819 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 123331020133321 in words is "one hundred twenty-three trillion, three hundred thirty-one billion, twenty million, one hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 7 11 13 77 91 121 139 143 847 973 1001 1529 1573 1807 10703 11011 12649 16819 19877 117733 139139 218647 1530529 80580649 564064543 886387139 1047548437 6204709973 7332839059 9750258529 11200710211 11523032807 68251809703 78404971477 80661229649 123207812321 126753360877 145609232743 862454686247 887273526139 1019264629201 1355285935531 1601701560173 9487001548717 11211910921211 17618717161903 123331020133321