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131133213 = 32109133673
BaseRepresentation
bin1111101000011…
…10111100011101
3100010202020221200
413310032330131
5232032230323
621002350113
73151420401
oct764167435
9303666850
10131133213
1168026362
1237abb339
1321224523
14135b7101
15b7a4443
hex7d0ef1d

131133213 has 12 divisors (see below), whose sum is σ = 191153820. Its totient is φ = 86619456.

The previous prime is 131133203. The next prime is 131133221. The reversal of 131133213 is 312331131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 55756089 + 75377124 = 7467^2 + 8682^2 .

It is not a de Polignac number, because 131133213 - 25 = 131133181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133203) 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 11 ways as a sum of consecutive naturals, for example, 65856 + ... + 67817.

It is an arithmetic number, because the mean of its divisors is an integer number (15929485).

Almost surely, 2131133213 is an apocalyptic number.

It is an amenable number.

131133213 is a deficient number, since it is larger than the sum of its proper divisors (60020607).

131133213 is a wasteful number, since it uses less digits than its factorization.

131133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133788 (or 133785 counting only the distinct ones).

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

The square root of 131133213 is about 11451.3411005000. The cubic root of 131133213 is about 508.0474011300.

Adding to 131133213 its reverse (312331131), we get a palindrome (443464344).

The spelling of 131133213 in words is "one hundred thirty-one million, one hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 109 327 981 133673 401019 1203057 14570357 43711071 131133213