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31134243113 = 3173137233431
BaseRepresentation
bin11100111111101111…
…101101100100101001
32222100210120102102022
4130333233231210221
51002230331234423
622145230514225
72151351462041
oct347757554451
988323512368
1031134243113
1112227517736
12604a965975
132c2237517c
141714d3c721
15c234c5dc8
hex73fbed929

31134243113 has 32 divisors (see below), whose sum is σ = 33033940992. Its totient is φ = 29305497600.

The previous prime is 31134243109. The next prime is 31134243121.

31134243113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31134243113 - 22 = 31134243109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31134243713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72237008 + ... + 72237438.

It is an arithmetic number, because the mean of its divisors is an integer number (1032310656).

Almost surely, 231134243113 is an apocalyptic number.

It is an amenable number.

31134243113 is a deficient number, since it is larger than the sum of its proper divisors (1899697879).

31134243113 is a wasteful number, since it uses less digits than its factorization.

31134243113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905.

The product of its digits is 2592, while the sum is 26.

The spelling of 31134243113 in words is "thirty-one billion, one hundred thirty-four million, two hundred forty-three thousand, one hundred thirteen".

Divisors: 1 31 73 137 233 431 2263 4247 7223 10001 13361 17009 31463 31921 59047 100423 310031 527279 975353 989551 1830457 2330233 3113113 4310431 7330879 13757951 72237223 133623361 227257249 426496481 1004330423 31134243113