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101293173841 is a prime number
BaseRepresentation
bin101111001010110001…
…0110010110001010001
3100200110021222101021011
41132111202302301101
53124422023030331
6114311120130521
710214065525426
oct1362542626121
9320407871234
10101293173841
1139a5a3a0812
121776aa66a41
1397236c7672
144c8cac5d4d
15297ca2c3b1
hex17958b2c51

101293173841 has 2 divisors, whose sum is σ = 101293173842. Its totient is φ = 101293173840.

The previous prime is 101293173809. The next prime is 101293173893. The reversal of 101293173841 is 148371392101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61424665600 + 39868508241 = 247840^2 + 199671^2 .

It is a cyclic number.

It is not a de Polignac number, because 101293173841 - 25 = 101293173809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101293173794 and 101293173803.

It is not a weakly prime, because it can be changed into another prime (101293173941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50646586920 + 50646586921.

It is an arithmetic number, because the mean of its divisors is an integer number (50646586921).

Almost surely, 2101293173841 is an apocalyptic number.

It is an amenable number.

101293173841 is a deficient number, since it is larger than the sum of its proper divisors (1).

101293173841 is an equidigital number, since it uses as much as digits as its factorization.

101293173841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 101293173841 in words is "one hundred one billion, two hundred ninety-three million, one hundred seventy-three thousand, eight hundred forty-one".