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331332313101 = 34788114811801
BaseRepresentation
bin1001101001001001111…
…00011110000000001101
31011200020010012110002220
410310210330132000031
520412032033004401
6412113441205553
732636503123056
oct4644474360015
91150203173086
10331332313101
111185764a8939
125426a6308b9
132532423374a
14120724bd72d
15894325c336
hex4d24f1e00d

331332313101 has 32 divisors (see below), whose sum is σ = 452243990016. Its totient is φ = 215677440000.

The previous prime is 331332313093. The next prime is 331332313157. The reversal of 331332313101 is 101313233133.

It is not a de Polignac number, because 331332313101 - 23 = 331332313093 is a prime.

It is a super-2 number, since 2×3313323131012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331332313201) 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, 183970401 + ... + 183972201.

It is an arithmetic number, because the mean of its divisors is an integer number (14132624688).

Almost surely, 2331332313101 is an apocalyptic number.

It is an amenable number.

331332313101 is a deficient number, since it is larger than the sum of its proper divisors (120911676915).

331332313101 is a wasteful number, since it uses less digits than its factorization.

331332313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 331332313101 its reverse (101313233133), we get a palindrome (432645546234).

The spelling of 331332313101 in words is "three hundred thirty-one billion, three hundred thirty-two million, three hundred thirteen thousand, one hundred one".

Divisors: 1 3 47 141 881 1481 1801 2643 4443 5403 41407 69607 84647 124221 208821 253941 1304761 1586681 2667281 3914283 4760043 8001843 61323767 74574007 125362207 183971301 223722021 376086621 2349874561 7049623683 110444104367 331332313101