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31014033041013 = 3112211404919941
BaseRepresentation
bin1110000110101000001000…
…11011000010011001110101
311001210220122021202112021220
413003110010123002121311
513031113214424303023
6145543352230300553
76350455436126241
oct703240433023165
9131726567675256
1031014033041013
119977a83132400
12358a888ab7759
13143c7c2b14b49
1479313142b421
1538bb2d4ed3e3
hex1c35046c2675

31014033041013 has 24 divisors (see below), whose sum is σ = 45668490738528. Its totient is φ = 18707301228000.

The previous prime is 31014033040981. The next prime is 31014033041027.

31014033041013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31014033041013 - 25 = 31014033040981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31014433041013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202383378 + ... + 202536563.

It is an arithmetic number, because the mean of its divisors is an integer number (1902853780772).

Almost surely, 231014033041013 is an apocalyptic number.

31014033041013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31014033041013 is a deficient number, since it is larger than the sum of its proper divisors (14654457697515).

31014033041013 is a wasteful number, since it uses less digits than its factorization.

31014033041013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404920177 (or 404920166 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 3101403 and 3041013, that added together give a palindrome (6142416).

The spelling of 31014033041013 in words is "thirty-one trillion, fourteen billion, thirty-three million, forty-one thousand, thirteen".

Divisors: 1 3 11 33 121 211 363 633 2321 6963 25531 76593 404919941 1214759823 4454119351 13362358053 48995312861 85438107551 146985938583 256314322653 939819183061 2819457549183 10338011013671 31014033041013