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131766213 = 33137149257
BaseRepresentation
bin1111101101010…
…01011111000101
3100011221102021010
413312221133011
5232213004323
621024112433
73156665025
oct766513705
9304842233
10131766213
11684189a7
1238165719
13213b6697
14136dda85
15b87bc93
hex7da97c5

131766213 has 32 divisors (see below), whose sum is σ = 188236800. Its totient is φ = 81838080.

The previous prime is 131766203. The next prime is 131766253. The reversal of 131766213 is 312667131.

It is not a de Polignac number, because 131766213 - 25 = 131766181 is a prime.

It is a super-2 number, since 2×1317662132 = 34724669776722738, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131766203) 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, 512581 + ... + 512837.

It is an arithmetic number, because the mean of its divisors is an integer number (5882400).

Almost surely, 2131766213 is an apocalyptic number.

It is an amenable number.

131766213 is a deficient number, since it is larger than the sum of its proper divisors (56470587).

131766213 is a wasteful number, since it uses less digits than its factorization.

131766213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477.

The product of its digits is 4536, while the sum is 30.

The square root of 131766213 is about 11478.9465108955. The cubic root of 131766213 is about 508.8635633611.

The spelling of 131766213 in words is "one hundred thirty-one million, seven hundred sixty-six thousand, two hundred thirteen".

Divisors: 1 3 31 37 93 111 149 257 447 771 1147 3441 4619 5513 7967 9509 13857 16539 23901 28527 38293 114879 170903 294779 512709 884337 1187083 1416841 3561249 4250523 43922071 131766213