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106314251550557 is a prime number
BaseRepresentation
bin11000001011000100110111…
…001100101011111101011101
3111221102112122222120212222212
4120023010313030223331131
5102413323041344104212
61014040032023050205
731251644155565141
oct3013046714537535
9457375588525885
10106314251550557
1130969691436786
12bb104b78a0965
134742510a7989b
141c378cc7bb221
15c45727187e22
hex60b13732bf5d

106314251550557 has 2 divisors, whose sum is σ = 106314251550558. Its totient is φ = 106314251550556.

The previous prime is 106314251550527. The next prime is 106314251550569. The reversal of 106314251550557 is 755055152413601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58778273556601 + 47535977993956 = 7666699^2 + 6894634^2 .

It is a cyclic number.

It is not a de Polignac number, because 106314251550557 - 28 = 106314251550301 is a prime.

It is a super-2 number, since 2×1063142515505572 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106314251550527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53157125775278 + 53157125775279.

It is an arithmetic number, because the mean of its divisors is an integer number (53157125775279).

Almost surely, 2106314251550557 is an apocalyptic number.

It is an amenable number.

106314251550557 is a deficient number, since it is larger than the sum of its proper divisors (1).

106314251550557 is an equidigital number, since it uses as much as digits as its factorization.

106314251550557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3150000, while the sum is 50.

The spelling of 106314251550557 in words is "one hundred six trillion, three hundred fourteen billion, two hundred fifty-one million, five hundred fifty thousand, five hundred fifty-seven".