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111101213137 is a prime number
BaseRepresentation
bin110011101111000100…
…1011111100111010001
3101121202211112101210211
41213132021133213101
53310013402310022
6123012244324121
711012122505245
oct1473611374721
9347684471724
10111101213137
1143132813912
12196476a3641
13a6276b3b05
14553d55a425
152d53b1ce77
hex19de25f9d1

111101213137 has 2 divisors, whose sum is σ = 111101213138. Its totient is φ = 111101213136.

The previous prime is 111101213129. The next prime is 111101213147. The reversal of 111101213137 is 731312101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66782963776 + 44318249361 = 258424^2 + 210519^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101213137 - 23 = 111101213129 is a prime.

It is not a weakly prime, because it can be changed into another prime (111101213147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550606568 + 55550606569.

It is an arithmetic number, because the mean of its divisors is an integer number (55550606569).

Almost surely, 2111101213137 is an apocalyptic number.

It is an amenable number.

111101213137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101213137 is an equidigital number, since it uses as much as digits as its factorization.

111101213137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 22.

Adding to 111101213137 its reverse (731312101111), we get a palindrome (842413314248).

The spelling of 111101213137 in words is "one hundred eleven billion, one hundred one million, two hundred thirteen thousand, one hundred thirty-seven".