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31043311334013 = 3114805091957729
BaseRepresentation
bin1110000111011110101011…
…00010110111001001111101
311001220201012202000220210010
413003233111202313021331
513032103200200142023
6150005033401533433
76352543123405116
oct703572542671175
9131821182026703
1031043311334013
119989437a50270
12359449a1a4279
1314424aa80a484
1479470ba8b20d
1538c793ab8093
hex1c3bd58b727d

31043311334013 has 16 divisors (see below), whose sum is σ = 45154024430400. Its totient is φ = 18814079316480.

The previous prime is 31043311333973. The next prime is 31043311334053.

31043311334013 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (31043311333973) and next prime (31043311334053).

It is not a de Polignac number, because 31043311334013 - 212 = 31043311329917 is a prime.

It is a super-3 number, since 3×310433113340133 (a number of 41 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31043311334053) 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, 14877933 + ... + 16835661.

It is an arithmetic number, because the mean of its divisors is an integer number (2822126526900).

Almost surely, 231043311334013 is an apocalyptic number.

31043311334013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31043311334013 is a deficient number, since it is larger than the sum of its proper divisors (14110713096387).

31043311334013 is a wasteful number, since it uses less digits than its factorization.

31043311334013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438252.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 3104331 and 1334013, that added together give a palindrome (4438344).

The spelling of 31043311334013 in words is "thirty-one trillion, forty-three billion, three hundred eleven million, three hundred thirty-four thousand, thirteen".

Divisors: 1 3 11 33 480509 1441527 1957729 5285599 5873187 15856797 21535019 64605057 940706404061 2822119212183 10347770444671 31043311334013