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31342024313 = 1719745913009
BaseRepresentation
bin11101001100001000…
…010101011001111001
32222220021112210122022
4131030020111121321
51003142024234223
622222012204225
72156453545115
oct351410253171
988807483568
1031342024313
1112323834836
1260a8469675
132c56425122
141734788745
15c3686aac8
hex74c215679

31342024313 has 16 divisors (see below), whose sum is σ = 34939656000. Its totient is φ = 27939935232.

The previous prime is 31342024289. The next prime is 31342024321.

31342024313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31342024313 - 210 = 31342023289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31342024013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2402753 + ... + 2415761.

It is an arithmetic number, because the mean of its divisors is an integer number (2183728500).

Almost surely, 231342024313 is an apocalyptic number.

It is an amenable number.

31342024313 is a deficient number, since it is larger than the sum of its proper divisors (3597631687).

31342024313 is a wasteful number, since it uses less digits than its factorization.

31342024313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20504.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 313420 and 24313, that added together give a palindrome (337733).

The spelling of 31342024313 in words is "thirty-one billion, three hundred forty-two million, twenty-four thousand, three hundred thirteen".

Divisors: 1 17 19 323 7459 13009 126803 141721 221153 247171 2409257 4201907 97034131 1649580227 1843648489 31342024313