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1007370137 is a prime number
BaseRepresentation
bin111100000010110…
…011111110011001
32121012112201001002
4330002303332121
54030341321022
6243543234345
733651335114
oct7402637631
92535481032
101007370137
114776a8104
122414489b5
1313091aa07
1497b0957b
155d68a092
hex3c0b3f99

1007370137 has 2 divisors, whose sum is σ = 1007370138. Its totient is φ = 1007370136.

The previous prime is 1007370109. The next prime is 1007370151. The reversal of 1007370137 is 7310737001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 564015001 + 443355136 = 23749^2 + 21056^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007370137 - 216 = 1007304601 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007370157) 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, 503685068 + 503685069.

It is an arithmetic number, because the mean of its divisors is an integer number (503685069).

Almost surely, 21007370137 is an apocalyptic number.

It is an amenable number.

1007370137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007370137 is an equidigital number, since it uses as much as digits as its factorization.

1007370137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3087, while the sum is 29.

The square root of 1007370137 is about 31739.0947728507. The cubic root of 1007370137 is about 1002.4507014893.

The spelling of 1007370137 in words is "one billion, seven million, three hundred seventy thousand, one hundred thirty-seven".