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107656081681 is a prime number
BaseRepresentation
bin110010001000011001…
…1010111000100010001
3101021212201220120220111
41210100303113010101
53230434424103211
6121242335241321
710530550411231
oct1442063270421
9337781816814
10107656081681
1141725062635
1218a45979241
13a1c8a188a5
1452d3ba1cc1
152c0144d421
hex1910cd7111

107656081681 has 2 divisors, whose sum is σ = 107656081682. Its totient is φ = 107656081680.

The previous prime is 107656081661. The next prime is 107656081703. The reversal of 107656081681 is 186180656701.

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., 76595544081 + 31060537600 = 276759^2 + 176240^2 .

It is a cyclic number.

It is not a de Polignac number, because 107656081681 - 211 = 107656079633 is a prime.

It is a super-2 number, since 2×1076560816812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107656081651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53828040840 + 53828040841.

It is an arithmetic number, because the mean of its divisors is an integer number (53828040841).

Almost surely, 2107656081681 is an apocalyptic number.

It is an amenable number.

107656081681 is a deficient number, since it is larger than the sum of its proper divisors (1).

107656081681 is an equidigital number, since it uses as much as digits as its factorization.

107656081681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 107656081681 in words is "one hundred seven billion, six hundred fifty-six million, eighty-one thousand, six hundred eighty-one".