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110431416617 is a prime number
BaseRepresentation
bin110011011011000111…
…0011011000100101001
3101120001011012012201022
41212312032123010221
53302130420312432
6122422000302225
710656410360564
oct1466616330451
9346034165638
10110431416617
1142919723875
121949b311975
13a54b9bb202
1454b86054db
152d14e14b12
hex19b639b129

110431416617 has 2 divisors, whose sum is σ = 110431416618. Its totient is φ = 110431416616.

The previous prime is 110431416587. The next prime is 110431416629. The reversal of 110431416617 is 716614134011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69198459136 + 41232957481 = 263056^2 + 203059^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110431416617 is a prime.

It is not a weakly prime, because it can be changed into another prime (110431416217) 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, 55215708308 + 55215708309.

It is an arithmetic number, because the mean of its divisors is an integer number (55215708309).

Almost surely, 2110431416617 is an apocalyptic number.

It is an amenable number.

110431416617 is a deficient number, since it is larger than the sum of its proper divisors (1).

110431416617 is an equidigital number, since it uses as much as digits as its factorization.

110431416617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 110431416617 in words is "one hundred ten billion, four hundred thirty-one million, four hundred sixteen thousand, six hundred seventeen".