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131542360993 is a prime number
BaseRepresentation
bin111101010000010001…
…0010010001110100001
3110120112102011022011001
41322200202102032201
54123344321022433
6140232453152001
712334512422431
oct1724042221641
9416472138131
10131542360993
115087226283a
12215b132b601
13c5345a9184
14651c2782c1
15364d47957d
hex1ea08923a1

131542360993 has 2 divisors, whose sum is σ = 131542360994. Its totient is φ = 131542360992.

The previous prime is 131542360951. The next prime is 131542361057. The reversal of 131542360993 is 399063245131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129702980449 + 1839380544 = 360143^2 + 42888^2 .

It is an emirp because it is prime and its reverse (399063245131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131542360993 is a prime.

It is a super-2 number, since 2×1315423609932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131542360903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65771180496 + 65771180497.

It is an arithmetic number, because the mean of its divisors is an integer number (65771180497).

Almost surely, 2131542360993 is an apocalyptic number.

It is an amenable number.

131542360993 is a deficient number, since it is larger than the sum of its proper divisors (1).

131542360993 is an equidigital number, since it uses as much as digits as its factorization.

131542360993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 131542360993 in words is "one hundred thirty-one billion, five hundred forty-two million, three hundred sixty thousand, nine hundred ninety-three".