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211111201131137 is a prime number
BaseRepresentation
bin110000000000000100101000…
…001001101100101010000001
31000200111000220120211111102022
4300000010220021230222001
5210132321214442144022
62024555051423131225
762316165236520506
oct6000045011545201
91020430816744368
10211111201131137
11612a2837420a2a
121b816922143b15
1390a49159ac0c8
143a1bb9dac54ad
151961748001c42
hexc0012826ca81

211111201131137 has 2 divisors, whose sum is σ = 211111201131138. Its totient is φ = 211111201131136.

The previous prime is 211111201131109. The next prime is 211111201131161. The reversal of 211111201131137 is 731131102111112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167481490463296 + 43629710667841 = 12941464^2 + 6605279^2 .

It is a cyclic number.

It is not a de Polignac number, because 211111201131137 - 210 = 211111201130113 is a prime.

It is not a weakly prime, because it can be changed into another prime (211111201131167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105555600565568 + 105555600565569.

It is an arithmetic number, because the mean of its divisors is an integer number (105555600565569).

Almost surely, 2211111201131137 is an apocalyptic number.

It is an amenable number.

211111201131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211111201131137 is an equidigital number, since it uses as much as digits as its factorization.

211111201131137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 26.

Adding to 211111201131137 its reverse (731131102111112), we get a palindrome (942242303242249).

The spelling of 211111201131137 in words is "two hundred eleven trillion, one hundred eleven billion, two hundred one million, one hundred thirty-one thousand, one hundred thirty-seven".