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293957540136101 is a prime number
BaseRepresentation
bin100001011010110100101001…
…0110000100100010010100101
31102112211001210101200110120002
41002311221102300210102211
5302012200020233323401
62521110121334551045
7115626505610202122
oct10265512260442245
91375731711613502
10293957540136101
1185733768a49966
1228b76b35508485
13c8041004a6aca
1452838998b5749
1523eb79be90a6b
hex10b5a52c244a5

293957540136101 has 2 divisors, whose sum is σ = 293957540136102. Its totient is φ = 293957540136100.

The previous prime is 293957540136079. The next prime is 293957540136157. The reversal of 293957540136101 is 101631045759392.

It is a happy number.

It is a Cunningham number, because it is equal to 171451902+1.

It is an a-pointer prime, because the next prime (293957540136157) can be obtained adding 293957540136101 to its sum of digits (56).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 293957540136100 + 1 = 17145190^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 293957540136101 - 218 = 293957539873957 is a prime.

It is a super-2 number, since 2×2939575401361012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (293957540132101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146978770068050 + 146978770068051.

It is an arithmetic number, because the mean of its divisors is an integer number (146978770068051).

Almost surely, 2293957540136101 is an apocalyptic number.

It is an amenable number.

293957540136101 is a deficient number, since it is larger than the sum of its proper divisors (1).

293957540136101 is an equidigital number, since it uses as much as digits as its factorization.

293957540136101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6123600, while the sum is 56.

The spelling of 293957540136101 in words is "two hundred ninety-three trillion, nine hundred fifty-seven billion, five hundred forty million, one hundred thirty-six thousand, one hundred one".