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319641137 is a prime number
BaseRepresentation
bin10011000011010…
…101011000110001
3211021110110012122
4103003111120301
51123312004022
651415004025
710630622234
oct2303253061
9737413178
10319641137
1115447a132
128b069615
13512b6a8a
143064741b
151d0dd742
hex130d5631

319641137 has 2 divisors, whose sum is σ = 319641138. Its totient is φ = 319641136.

The previous prime is 319641131. The next prime is 319641149. The reversal of 319641137 is 731146913.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224070961 + 95570176 = 14969^2 + 9776^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-319641137 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 319641097 and 319641106.

It is not a weakly prime, because it can be changed into another prime (319641131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159820568 + 159820569.

It is an arithmetic number, because the mean of its divisors is an integer number (159820569).

Almost surely, 2319641137 is an apocalyptic number.

It is an amenable number.

319641137 is a deficient number, since it is larger than the sum of its proper divisors (1).

319641137 is an equidigital number, since it uses as much as digits as its factorization.

319641137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 35.

The square root of 319641137 is about 17878.5104804623. The cubic root of 319641137 is about 683.7345967407.

The spelling of 319641137 in words is "three hundred nineteen million, six hundred forty-one thousand, one hundred thirty-seven".