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202131033322081 is a prime number
BaseRepresentation
bin101101111101011001001100…
…011100000111001001100001
3222111200112112020210100120111
4231331121030130013021201
5202443203324012301311
61553521414221211321
760401325302554003
oct5575311434071141
9874615466710514
10202131033322081
1159450320846456
121a806422100b41
1388a2b4a801056
1437cb2a0cc2373
151857d5a994d21
hexb7d64c707261

202131033322081 has 2 divisors, whose sum is σ = 202131033322082. Its totient is φ = 202131033322080.

The previous prime is 202131033322037. The next prime is 202131033322129. The reversal of 202131033322081 is 180223330131202.

202131033322081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201977533134400 + 153500187681 = 14211880^2 + 391791^2 .

It is a cyclic number.

It is not a de Polignac number, because 202131033322081 - 211 = 202131033320033 is a prime.

It is a super-2 number, since 2×2021310333220812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202131033322381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101065516661040 + 101065516661041.

It is an arithmetic number, because the mean of its divisors is an integer number (101065516661041).

Almost surely, 2202131033322081 is an apocalyptic number.

It is an amenable number.

202131033322081 is a deficient number, since it is larger than the sum of its proper divisors (1).

202131033322081 is an equidigital number, since it uses as much as digits as its factorization.

202131033322081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 202131033322081 its reverse (180223330131202), we get a palindrome (382354363453283).

The spelling of 202131033322081 in words is "two hundred two trillion, one hundred thirty-one billion, thirty-three million, three hundred twenty-two thousand, eighty-one".