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331213113 = 32711477941
BaseRepresentation
bin10011101111011…
…110100100111001
3212002020100222100
4103233132210321
51134242304423
652511014013
711131156620
oct2357364471
9762210870
10331213113
1115aa63350
1292b0a309
1353808cba
1431dba6b7
151e127343
hex13bde939

331213113 has 24 divisors (see below), whose sum is σ = 596471616. Its totient is φ = 172058400.

The previous prime is 331213097. The next prime is 331213117. The reversal of 331213113 is 311312133.

It is a happy number.

331213113 is a `hidden beast` number, since 331 + 21 + 311 + 3 = 666.

It is not a de Polignac number, because 331213113 - 24 = 331213097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331213117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238278 + ... + 239663.

It is an arithmetic number, because the mean of its divisors is an integer number (24852984).

Almost surely, 2331213113 is an apocalyptic number.

331213113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331213113 is a deficient number, since it is larger than the sum of its proper divisors (265258503).

331213113 is a wasteful number, since it uses less digits than its factorization.

331213113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477965 (or 477962 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 331213113 is about 18199.2613311640. The cubic root of 331213113 is about 691.8880677266. Note that the first 3 decimals are identical.

Adding to 331213113 its reverse (311312133), we get a palindrome (642525246).

It can be divided in two parts, 331 and 213113, that added together give a square (213444 = 4622).

The spelling of 331213113 in words is "three hundred thirty-one million, two hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 477941 1433823 3345587 4301469 5257351 10036761 15772053 30110283 36801457 47316159 110404371 331213113