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107407077677 is a prime number
BaseRepresentation
bin110010000000111110…
…1011111000100101101
3101021020101100212121222
41210001331133010231
53224432202441202
6121201522233125
710521435045104
oct1440175370455
9337211325558
10107407077677
114160754a1a9
12189964b57a5
13a189264643
1452acaa503b
152bd96644a2
hex1901f5f12d

107407077677 has 2 divisors, whose sum is σ = 107407077678. Its totient is φ = 107407077676.

The previous prime is 107407077641. The next prime is 107407077703. The reversal of 107407077677 is 776770704701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107361730921 + 45346756 = 327661^2 + 6734^2 .

It is a cyclic number.

It is not a de Polignac number, because 107407077677 - 210 = 107407076653 is a prime.

It is a super-2 number, since 2×1074070776772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107407077607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53703538838 + 53703538839.

It is an arithmetic number, because the mean of its divisors is an integer number (53703538839).

Almost surely, 2107407077677 is an apocalyptic number.

It is an amenable number.

107407077677 is a deficient number, since it is larger than the sum of its proper divisors (1).

107407077677 is an equidigital number, since it uses as much as digits as its factorization.

107407077677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2823576, while the sum is 53.

The spelling of 107407077677 in words is "one hundred seven billion, four hundred seven million, seventy-seven thousand, six hundred seventy-seven".