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10131762517 is a prime number
BaseRepresentation
bin10010110111110011…
…00110110101010101
3222011002200212022121
421123321212311111
5131222212400032
64353210455541
7506034363142
oct113371466525
928132625277
1010131762517
11432a130158
121b691345b1
13c560a2266
146c18613c9
153e4738a97
hex25be66d55

10131762517 has 2 divisors, whose sum is σ = 10131762518. Its totient is φ = 10131762516.

The previous prime is 10131762497. The next prime is 10131762533. The reversal of 10131762517 is 71526713101.

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., 9966228561 + 165533956 = 99831^2 + 12866^2 .

It is an emirp because it is prime and its reverse (71526713101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10131762517 is a prime.

It is a super-2 number, since 2×101317625172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131765517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065881258 + 5065881259.

It is an arithmetic number, because the mean of its divisors is an integer number (5065881259).

Almost surely, 210131762517 is an apocalyptic number.

It is an amenable number.

10131762517 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131762517 is an equidigital number, since it uses as much as digits as its factorization.

10131762517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 10131762517 in words is "ten billion, one hundred thirty-one million, seven hundred sixty-two thousand, five hundred seventeen".