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107089944461 is a prime number
BaseRepresentation
bin110001110111100001…
…1101101111110001101
3101020102021121211122022
41203233003231332031
53223310011210321
6121110233055525
710510534336343
oct1435703557615
9336367554568
10107089944461
1141464533335
12189082575a5
13a138648256
14527c911993
152bbb8bddab
hex18ef0edf8d

107089944461 has 2 divisors, whose sum is σ = 107089944462. Its totient is φ = 107089944460.

The previous prime is 107089944439. The next prime is 107089944529. The reversal of 107089944461 is 164449980701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68838016900 + 38251927561 = 262370^2 + 195581^2 .

It is a cyclic number.

It is not a de Polignac number, because 107089944461 - 218 = 107089682317 is a prime.

It is a super-2 number, since 2×1070899444612 (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 (107089944431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53544972230 + 53544972231.

It is an arithmetic number, because the mean of its divisors is an integer number (53544972231).

Almost surely, 2107089944461 is an apocalyptic number.

It is an amenable number.

107089944461 is a deficient number, since it is larger than the sum of its proper divisors (1).

107089944461 is an equidigital number, since it uses as much as digits as its factorization.

107089944461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 107089944461 in words is "one hundred seven billion, eighty-nine million, nine hundred forty-four thousand, four hundred sixty-one".