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10605117407 is a prime number
BaseRepresentation
bin10011110000001110…
…10011111111011111
31000101002101210011012
421320013103333133
5133204402224112
64512200245435
7523543003433
oct117007237737
930332353135
1010605117407
114552348745
12207b77087b
131000188401
1472867c9c3
1542108c022
hex2781d3fdf

10605117407 has 2 divisors, whose sum is σ = 10605117408. Its totient is φ = 10605117406.

The previous prime is 10605117371. The next prime is 10605117409. The reversal of 10605117407 is 70471150601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10605117407 - 26 = 10605117343 is a prime.

It is a super-2 number, since 2×106051174072 (a number of 21 digits) contains 22 as substring.

Together with 10605117409, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10605117409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302558703 + 5302558704.

It is an arithmetic number, because the mean of its divisors is an integer number (5302558704).

Almost surely, 210605117407 is an apocalyptic number.

10605117407 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605117407 is an equidigital number, since it uses as much as digits as its factorization.

10605117407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 10605117407 in words is "ten billion, six hundred five million, one hundred seventeen thousand, four hundred seven".