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101296172969 is a prime number
BaseRepresentation
bin101111001010110111…
…0001110111110101001
3100200110111121202021222
41132111232032332221
53124423310013334
6114311304311425
710214133156305
oct1362556167651
9320414552258
10101296172969
1139a6105a032
121776ba72575
1397242077b4
144c8d266d05
15297ce20d2e
hex1795b8efa9

101296172969 has 2 divisors, whose sum is σ = 101296172970. Its totient is φ = 101296172968.

The previous prime is 101296172951. The next prime is 101296173023. The reversal of 101296172969 is 969271692101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80634985369 + 20661187600 = 283963^2 + 143740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101296172969 is a prime.

It is a super-2 number, since 2×1012961729692 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101296172969.

It is not a weakly prime, because it can be changed into another prime (101296172909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50648086484 + 50648086485.

It is an arithmetic number, because the mean of its divisors is an integer number (50648086485).

Almost surely, 2101296172969 is an apocalyptic number.

It is an amenable number.

101296172969 is a deficient number, since it is larger than the sum of its proper divisors (1).

101296172969 is an equidigital number, since it uses as much as digits as its factorization.

101296172969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 734832, while the sum is 53.

The spelling of 101296172969 in words is "one hundred one billion, two hundred ninety-six million, one hundred seventy-two thousand, nine hundred sixty-nine".