Base | Representation |
---|---|
bin | 11100000010101100111101… |
… | …101001010001001111001001 |
3 | 121011200022220211211101100101 |
4 | 130002230331221101033021 |
5 | 112131123412123231241 |
6 | 1114145253302405401 |
7 | 34656241436146240 |
oct | 3402547551211711 |
9 | 534608824741311 |
10 | 123331020133321 |
11 | 3632a4346a5500 |
12 | 119ba465130861 |
13 | 53a80b05b9740 |
14 | 2265378bc1957 |
15 | e3d1c99dde31 |
hex | 702b3da513c9 |
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".
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