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88085723101 is a prime number
BaseRepresentation
bin101001000001001010…
…0010111011111011101
322102100211211100212221
41102002110113133131
52420344421114401
6104244354425341
76235563202225
oct1220224273735
9272324740787
1088085723101
11343a2104572
12150a3892251
1383ca36025c
144398999085
15245829d7a1
hex14825177dd

88085723101 has 2 divisors, whose sum is σ = 88085723102. Its totient is φ = 88085723100.

The previous prime is 88085723071. The next prime is 88085723113. The reversal of 88085723101 is 10132758088.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80911802500 + 7173920601 = 284450^2 + 84699^2 .

It is a cyclic number.

It is not a de Polignac number, because 88085723101 - 223 = 88077334493 is a prime.

It is a super-2 number, since 2×880857231012 (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 (88085723161) 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, 44042861550 + 44042861551.

It is an arithmetic number, because the mean of its divisors is an integer number (44042861551).

Almost surely, 288085723101 is an apocalyptic number.

It is an amenable number.

88085723101 is a deficient number, since it is larger than the sum of its proper divisors (1).

88085723101 is an equidigital number, since it uses as much as digits as its factorization.

88085723101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 107520, while the sum is 43.

The spelling of 88085723101 in words is "eighty-eight billion, eighty-five million, seven hundred twenty-three thousand, one hundred one".