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138093187097 is a prime number
BaseRepresentation
bin1000000010011011111…
…1101101000000011001
3111012102221200202012002
42000212333231000121
54230303323441342
6143234504130345
712656035503005
oct2004677550031
9435387622162
10138093187097
1153624005408
122291b1669b5
1310039814438
1469802ad705
1538d3619d32
hex2026fed019

138093187097 has 2 divisors, whose sum is σ = 138093187098. Its totient is φ = 138093187096.

The previous prime is 138093187093. The next prime is 138093187103. The reversal of 138093187097 is 790781390831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95592890761 + 42500296336 = 309181^2 + 206156^2 .

It is an emirp because it is prime and its reverse (790781390831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138093187097 - 22 = 138093187093 is a prime.

It is not a weakly prime, because it can be changed into another prime (138093187093) 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, 69046593548 + 69046593549.

It is an arithmetic number, because the mean of its divisors is an integer number (69046593549).

Almost surely, 2138093187097 is an apocalyptic number.

It is an amenable number.

138093187097 is a deficient number, since it is larger than the sum of its proper divisors (1).

138093187097 is an equidigital number, since it uses as much as digits as its factorization.

138093187097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2286144, while the sum is 56.

The spelling of 138093187097 in words is "one hundred thirty-eight billion, ninety-three million, one hundred eighty-seven thousand, ninety-seven".