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106431317917 is a prime number
BaseRepresentation
bin110001100011111001…
…1010000011110011101
3101011201101022010212121
41203013303100132131
53220432404133132
6120521024302541
710455316163341
oct1430763203635
9334641263777
10106431317917
1141156782481
1218763771a51
13a0620638c2
145219267621
152b7db70497
hex18c7cd079d

106431317917 has 2 divisors, whose sum is σ = 106431317918. Its totient is φ = 106431317916.

The previous prime is 106431317899. The next prime is 106431317929. The reversal of 106431317917 is 719713134601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106219935396 + 211382521 = 325914^2 + 14539^2 .

It is a cyclic number.

It is not a de Polignac number, because 106431317917 - 211 = 106431315869 is a prime.

It is a super-2 number, since 2×1064313179172 (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 (106431317957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53215658958 + 53215658959.

It is an arithmetic number, because the mean of its divisors is an integer number (53215658959).

Almost surely, 2106431317917 is an apocalyptic number.

It is an amenable number.

106431317917 is a deficient number, since it is larger than the sum of its proper divisors (1).

106431317917 is an equidigital number, since it uses as much as digits as its factorization.

106431317917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 106431317917 in words is "one hundred six billion, four hundred thirty-one million, three hundred seventeen thousand, nine hundred seventeen".