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107023116677 is a prime number
BaseRepresentation
bin110001110101100010…
…0110010100110000101
3101020020121212122011012
41203223010302212011
53223140404213202
6121055444452005
710506063324221
oct1435304624605
9336217778135
10107023116677
114142a839664
12188a99aa005
13a12784a599
145273ab7781
152bb5abd152
hex18eb132985

107023116677 has 2 divisors, whose sum is σ = 107023116678. Its totient is φ = 107023116676.

The previous prime is 107023116659. The next prime is 107023116689. The reversal of 107023116677 is 776611320701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81073450756 + 25949665921 = 284734^2 + 161089^2 .

It is a cyclic number.

It is not a de Polignac number, because 107023116677 - 214 = 107023100293 is a prime.

It is a super-2 number, since 2×1070231166772 (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 (107023116617) 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, 53511558338 + 53511558339.

It is an arithmetic number, because the mean of its divisors is an integer number (53511558339).

Almost surely, 2107023116677 is an apocalyptic number.

It is an amenable number.

107023116677 is a deficient number, since it is larger than the sum of its proper divisors (1).

107023116677 is an equidigital number, since it uses as much as digits as its factorization.

107023116677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 74088, while the sum is 41.

The spelling of 107023116677 in words is "one hundred seven billion, twenty-three million, one hundred sixteen thousand, six hundred seventy-seven".