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131153381 is a prime number
BaseRepresentation
bin1111101000100…
…11110111100101
3100010210021121122
413310103313211
5232033402011
621003023325
73151533242
oct764236745
9303707548
10131153381
116803a527
1237b0ab45
1321230768
14135c05c9
15b7aa3db
hex7d13de5

131153381 has 2 divisors, whose sum is σ = 131153382. Its totient is φ = 131153380.

The previous prime is 131153377. The next prime is 131153387. The reversal of 131153381 is 183351131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126202756 + 4950625 = 11234^2 + 2225^2 .

It is a cyclic number.

It is not a de Polignac number, because 131153381 - 22 = 131153377 is a prime.

It is a super-2 number, since 2×1311533812 = 34402418695462322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131153381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131153387) 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, 65576690 + 65576691.

It is an arithmetic number, because the mean of its divisors is an integer number (65576691).

Almost surely, 2131153381 is an apocalyptic number.

It is an amenable number.

131153381 is a deficient number, since it is larger than the sum of its proper divisors (1).

131153381 is an equidigital number, since it uses as much as digits as its factorization.

131153381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 26.

The square root of 131153381 is about 11452.2216621929. The cubic root of 131153381 is about 508.0734453195.

The spelling of 131153381 in words is "one hundred thirty-one million, one hundred fifty-three thousand, three hundred eighty-one".