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10213211137 is a prime number
BaseRepresentation
bin10011000001100000…
…10011110000000001
3222100202221212211011
421200300103300001
5131404040224022
64405240320521
7511043601523
oct114060236001
928322855734
1010213211137
114371100768
121b90473141
13c69c1bacc
146cc5c3a13
153eb976977
hex260c13c01

10213211137 has 2 divisors, whose sum is σ = 10213211138. Its totient is φ = 10213211136.

The previous prime is 10213211117. The next prime is 10213211147. The reversal of 10213211137 is 73111231201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7896810496 + 2316400641 = 88864^2 + 48129^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213211137 - 211 = 10213209089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10213211117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106605568 + 5106605569.

It is an arithmetic number, because the mean of its divisors is an integer number (5106605569).

Almost surely, 210213211137 is an apocalyptic number.

It is an amenable number.

10213211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213211137 is an equidigital number, since it uses as much as digits as its factorization.

10213211137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 10213211137 its reverse (73111231201), we get a palindrome (83324442338).

The spelling of 10213211137 in words is "ten billion, two hundred thirteen million, two hundred eleven thousand, one hundred thirty-seven".