Search a number
-
+
10537631246201 is a prime number
BaseRepresentation
bin1001100101010111101111…
…0001000110011101111001
31101022101110122021100020012
42121111323301012131321
52340122032044334301
634224530532311305
72135214216500003
oct231257361063571
941271418240205
1010537631246201
1133a2a91139794
12122231b472535
135b5904690187
1428604a0b5373
15134194609ebb
hex9957bc46779

10537631246201 has 2 divisors, whose sum is σ = 10537631246202. Its totient is φ = 10537631246200.

The previous prime is 10537631246189. The next prime is 10537631246269. The reversal of 10537631246201 is 10264213673501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10410431310400 + 127199935801 = 3226520^2 + 356651^2 .

It is a cyclic number.

It is not a de Polignac number, because 10537631246201 - 26 = 10537631246137 is a prime.

It is a super-2 number, since 2×105376312462012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10537631246101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5268815623100 + 5268815623101.

It is an arithmetic number, because the mean of its divisors is an integer number (5268815623101).

Almost surely, 210537631246201 is an apocalyptic number.

It is an amenable number.

10537631246201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10537631246201 is an equidigital number, since it uses as much as digits as its factorization.

10537631246201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 10537631246201 in words is "ten trillion, five hundred thirty-seven billion, six hundred thirty-one million, two hundred forty-six thousand, two hundred one".