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34113431131 = 137189415273
BaseRepresentation
bin11111110001010100…
…011010011001011011
310021001102102212002021
4133301110122121123
51024331014244011
623401013115311
72315235244303
oct376124323133
9107042385067
1034113431131
111351616279a
126740628b37
1332a8650810
141918888603
15d49d08471
hex7f151a65b

34113431131 has 16 divisors (see below), whose sum is σ = 37673657280. Its totient is φ = 30696906240.

The previous prime is 34113431083. The next prime is 34113431141. The reversal of 34113431131 is 13113431143.

It is not a de Polignac number, because 34113431131 - 213 = 34113422939 is a prime.

It is a super-2 number, since 2×341134311312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34113431096 and 34113431105.

It is not an unprimeable number, because it can be changed into a prime (34113431141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125490 + ... + 289783.

It is an arithmetic number, because the mean of its divisors is an integer number (2354603580).

Almost surely, 234113431131 is an apocalyptic number.

34113431131 is a deficient number, since it is larger than the sum of its proper divisors (3560226149).

34113431131 is a wasteful number, since it uses less digits than its factorization.

34113431131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415446.

The product of its digits is 1296, while the sum is 25.

Adding to 34113431131 its reverse (13113431143), we get a palindrome (47226862274).

The spelling of 34113431131 in words is "thirty-four billion, one hundred thirteen million, four hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 13 71 89 923 1157 6319 82147 415273 5398549 29484383 36959297 383296979 480470861 2624110087 34113431131