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131667407 is a prime number
BaseRepresentation
bin1111101100100…
…01010111001111
3100011202101201122
413312101113033
5232201324112
621022031155
73156103664
oct766212717
9304671648
10131667407
1168360743
12381184bb
1321380711
14136b5a6b
15b85c872
hex7d915cf

131667407 has 2 divisors, whose sum is σ = 131667408. Its totient is φ = 131667406.

The previous prime is 131667373. The next prime is 131667421. The reversal of 131667407 is 704766131.

It is a strong prime.

It is an emirp because it is prime and its reverse (704766131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131667407 - 26 = 131667343 is a prime.

It is a super-2 number, since 2×1316674072 = 34672612132207298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131667427) 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, 65833703 + 65833704.

It is an arithmetic number, because the mean of its divisors is an integer number (65833704).

Almost surely, 2131667407 is an apocalyptic number.

131667407 is a deficient number, since it is larger than the sum of its proper divisors (1).

131667407 is an equidigital number, since it uses as much as digits as its factorization.

131667407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 131667407 is about 11474.6419116241. The cubic root of 131667407 is about 508.7363396856.

The spelling of 131667407 in words is "one hundred thirty-one million, six hundred sixty-seven thousand, four hundred seven".