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113131301301 = 3212570144589
BaseRepresentation
bin110100101011100100…
…1101010100110110101
3101211000022111120020100
41221113021222212311
53323143103120201
6123545524224313
711113333123524
oct1512711524665
9354008446210
10113131301301
1143a84741127
1219b1353b099
13a88c164305
1456930084bb
152e21e75886
hex1a5726a9b5

113131301301 has 6 divisors (see below), whose sum is σ = 163411879670. Its totient is φ = 75420867528.

The previous prime is 113131301287. The next prime is 113131301303. The reversal of 113131301301 is 103103131311.

113131301301 is a `hidden beast` number, since 1 + 1 + 31 + 31 + 301 + 301 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71433252900 + 41698048401 = 267270^2 + 204201^2 .

It is not a de Polignac number, because 113131301301 - 213 = 113131293109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131301303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6285072286 + ... + 6285072303.

Almost surely, 2113131301301 is an apocalyptic number.

It is an amenable number.

113131301301 is a deficient number, since it is larger than the sum of its proper divisors (50280578369).

113131301301 is a wasteful number, since it uses less digits than its factorization.

113131301301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12570144595 (or 12570144592 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 113131301301 its reverse (103103131311), we get a palindrome (216234432612).

The spelling of 113131301301 in words is "one hundred thirteen billion, one hundred thirty-one million, three hundred one thousand, three hundred one".

Divisors: 1 3 9 12570144589 37710433767 113131301301