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10201047458197 is a prime number
BaseRepresentation
bin1001010001110001110111…
…0011110110000110010101
31100010012200112111022211211
42110130131303312012111
52314113221122130242
633410144013501421
72102000315502301
oct224343563660625
940105615438754
1010201047458197
113283270393052
1211890461a1871
1358cc5449003b
14273a3a392d01
1512a545320317
hex9471dcf6195

10201047458197 has 2 divisors, whose sum is σ = 10201047458198. Its totient is φ = 10201047458196.

The previous prime is 10201047458137. The next prime is 10201047458237. The reversal of 10201047458197 is 79185474010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7477867615761 + 2723179842436 = 2734569^2 + 1650206^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10201047458197 is a prime.

It is a super-2 number, since 2×102010474581972 (a number of 27 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 10201047458197.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201047458117) 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, 5100523729098 + 5100523729099.

It is an arithmetic number, because the mean of its divisors is an integer number (5100523729099).

Almost surely, 210201047458197 is an apocalyptic number.

It is an amenable number.

10201047458197 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201047458197 is an equidigital number, since it uses as much as digits as its factorization.

10201047458197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 49.

The spelling of 10201047458197 in words is "ten trillion, two hundred one billion, forty-seven million, four hundred fifty-eight thousand, one hundred ninety-seven".