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131210173 is a prime number
BaseRepresentation
bin1111101001000…
…01101110111101
3100010220011112001
413310201232331
5232042211143
621004142301
73152160643
oct764415675
9303804461
10131210173
1168079166
1237b37991
1321250573
14135d7193
15b7bc14d
hex7d21bbd

131210173 has 2 divisors, whose sum is σ = 131210174. Its totient is φ = 131210172.

The previous prime is 131210171. The next prime is 131210213. The reversal of 131210173 is 371012131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100540729 + 30669444 = 10027^2 + 5538^2 .

It is a cyclic number.

It is not a de Polignac number, because 131210173 - 21 = 131210171 is a prime.

It is a super-2 number, since 2×1312101732 = 34432218997379858, which contains 22 as substring.

Together with 131210171, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 131210173.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131210171) 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 as a sum of consecutive naturals, namely, 65605086 + 65605087.

It is an arithmetic number, because the mean of its divisors is an integer number (65605087).

Almost surely, 2131210173 is an apocalyptic number.

It is an amenable number.

131210173 is a deficient number, since it is larger than the sum of its proper divisors (1).

131210173 is an equidigital number, since it uses as much as digits as its factorization.

131210173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 131210173 is about 11454.7009127257. The cubic root of 131210173 is about 508.1467700101.

The spelling of 131210173 in words is "one hundred thirty-one million, two hundred ten thousand, one hundred seventy-three".