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201042957931217 is a prime number
BaseRepresentation
bin101101101101100011110110…
…000101111001001011010001
3222100211112000101222111100222
4231231203312011321023101
5202322341434212244332
61551325505421322425
760226605625414523
oct5555436605711321
9870745011874328
10201042957931217
1159070926633836
121a66b57ba06415
13882436738211c
14379076140da13
1518398c6d21712
hexb6d8f61792d1

201042957931217 has 2 divisors, whose sum is σ = 201042957931218. Its totient is φ = 201042957931216.

The previous prime is 201042957931111. The next prime is 201042957931243. The reversal of 201042957931217 is 712139759240102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143999016001681 + 57043941929536 = 11999959^2 + 7552744^2 .

It is a cyclic number.

It is not a de Polignac number, because 201042957931217 - 28 = 201042957930961 is a prime.

It is not a weakly prime, because it can be changed into another prime (201042957931267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100521478965608 + 100521478965609.

It is an arithmetic number, because the mean of its divisors is an integer number (100521478965609).

Almost surely, 2201042957931217 is an apocalyptic number.

It is an amenable number.

201042957931217 is a deficient number, since it is larger than the sum of its proper divisors (1).

201042957931217 is an equidigital number, since it uses as much as digits as its factorization.

201042957931217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 201042957931217 in words is "two hundred one trillion, forty-two billion, nine hundred fifty-seven million, nine hundred thirty-one thousand, two hundred seventeen".