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111312131301 = 3272252408461
BaseRepresentation
bin110011110101010111…
…0000101010011100101
3101122022112102011010200
41213222232011103211
53310431401200201
6123045221141113
711020263335100
oct1475256052345
9348275364120
10111312131301
1143230883848
12196a625a799
13a65c2c1867
14555d581737
152d673d2386
hex19eab854e5

111312131301 has 18 divisors (see below), whose sum is σ = 187034670342. Its totient is φ = 63606931920.

The previous prime is 111312131299. The next prime is 111312131321. The reversal of 111312131301 is 103131213111.

It can be written as a sum of positive squares in only one way, i.e., 63705255201 + 47606876100 = 252399^2 + 218190^2 .

It is not a de Polignac number, because 111312131301 - 21 = 111312131299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111312131321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 126203790 + ... + 126204671.

It is an arithmetic number, because the mean of its divisors is an integer number (10390815019).

Almost surely, 2111312131301 is an apocalyptic number.

It is an amenable number.

111312131301 is a deficient number, since it is larger than the sum of its proper divisors (75722539041).

111312131301 is a wasteful number, since it uses less digits than its factorization.

111312131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252408481 (or 252408471 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 111312131301 its reverse (103131213111), we get a palindrome (214443344412).

The spelling of 111312131301 in words is "one hundred eleven billion, three hundred twelve million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 252408461 757225383 1766859227 2271676149 5300577681 12368014589 15901733043 37104043767 111312131301