Search a number
-
+
31110144101113 = 7112964113630709
BaseRepresentation
bin1110001001011011001010…
…00101101000101011111001
311002011002201102200020220111
413010231211011220223321
513034202033342213423
6150055445232024321
76360430241506450
oct704554505505371
9132132642606814
1031110144101113
119a0481333a390
1235a54303920a1
13144889ba198cc
14797a4bba7b97
1538e3a60ee60d
hex1c4b65168af9

31110144101113 has 16 divisors (see below), whose sum is σ = 38787984558720. Its totient is φ = 24240851107200.

The previous prime is 31110144101017. The next prime is 31110144101143.

31110144101113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31110144101113 - 29 = 31110144100601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31110144101143) 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 15 ways as a sum of consecutive naturals, for example, 4532998 + ... + 9097711.

It is an arithmetic number, because the mean of its divisors is an integer number (2424249034920).

Almost surely, 231110144101113 is an apocalyptic number.

It is an amenable number.

31110144101113 is a deficient number, since it is larger than the sum of its proper divisors (7677840457607).

31110144101113 is a wasteful number, since it uses less digits than its factorization.

31110144101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13660368.

The product of its (nonzero) digits is 144, while the sum is 22.

It can be divided in two parts, 3111014 and 4101113, that added together give a palindrome (7212127).

The spelling of 31110144101113 in words is "thirty-one trillion, one hundred ten billion, one hundred forty-four million, one hundred one thousand, one hundred thirteen".

Divisors: 1 7 11 77 29641 207487 326051 2282357 13630709 95414963 149937799 1049564593 404027845469 2828194918283 4444306300159 31110144101113