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331320133023 = 311389195113229
BaseRepresentation
bin1001101001001000011…
…10000000010110011111
31011200012021021122011220
410310210032000112133
520412020423224043
6412112324144423
732636264443455
oct4644416002637
91150167248156
10331320133023
1111856a639860
1254266538113
132532185a7b9
1412070a2c9d5
158942153483
hex4d2438059f

331320133023 has 32 divisors (see below), whose sum is σ = 483443251200. Its totient is φ = 200166096000.

The previous prime is 331320133021. The next prime is 331320133031. The reversal of 331320133023 is 320331023133.

It is not a de Polignac number, because 331320133023 - 21 = 331320133021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331320132984 and 331320133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331320133021) 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 31 ways as a sum of consecutive naturals, for example, 25038373 + ... + 25051601.

It is an arithmetic number, because the mean of its divisors is an integer number (15107601600).

Almost surely, 2331320133023 is an apocalyptic number.

331320133023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

331320133023 is a deficient number, since it is larger than the sum of its proper divisors (152123118177).

331320133023 is a wasteful number, since it uses less digits than its factorization.

331320133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15583.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 331320133023 its reverse (320331023133), we get a palindrome (651651156156).

The spelling of 331320133023 in words is "three hundred thirty-one billion, three hundred twenty million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 3 11 33 389 1167 1951 4279 5853 12837 13229 21461 39687 64383 145519 436557 758939 2276817 5146081 8348329 15438243 25044987 25809779 56606891 77429337 169820673 283907569 851722707 10040004031 30120012093 110440044341 331320133023