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107137157689 is a prime number
BaseRepresentation
bin110001111000111011…
…1110100101000111001
3101020112120110112000101
41203301313310220321
53223404103021224
6121115041035401
710511646546262
oct1436167645071
9336476415011
10107137157689
1141489150331
1218920025b61
13a145369083
145284cc1969
152bc0ae8044
hex18f1df4a39

107137157689 has 2 divisors, whose sum is σ = 107137157690. Its totient is φ = 107137157688.

The previous prime is 107137157641. The next prime is 107137157753. The reversal of 107137157689 is 986751731701.

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., 104927405625 + 2209752064 = 323925^2 + 47008^2 .

It is a cyclic number.

It is not a de Polignac number, because 107137157689 - 29 = 107137157177 is a prime.

It is a super-2 number, since 2×1071371576892 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107137157639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53568578844 + 53568578845.

It is an arithmetic number, because the mean of its divisors is an integer number (53568578845).

Almost surely, 2107137157689 is an apocalyptic number.

It is an amenable number.

107137157689 is a deficient number, since it is larger than the sum of its proper divisors (1).

107137157689 is an equidigital number, since it uses as much as digits as its factorization.

107137157689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 55.

The spelling of 107137157689 in words is "one hundred seven billion, one hundred thirty-seven million, one hundred fifty-seven thousand, six hundred eighty-nine".