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13012322321031 = 311748952652263
BaseRepresentation
bin1011110101011010101011…
…0110011000001010000111
31201001222002010010021221220
42331112222312120022013
53201143214003233111
643401440042411423
72512052322531525
oct275265266301207
951058063107856
1013012322321031
1141675497a0990
121561a60500b73
13735097834737
1432db2a787315
15178731374e06
hexbd5aad98287

13012322321031 has 16 divisors (see below), whose sum is σ = 18929541953280. Its totient is φ = 7885202757120.

The previous prime is 13012322321029. The next prime is 13012322321137.

13012322321031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13012322321031 - 21 = 13012322321029 is a prime.

It is a super-2 number, since 2×130123223210312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13012322320992 and 13012322321010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012322322031) 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, 26078995 + ... + 26573268.

It is an arithmetic number, because the mean of its divisors is an integer number (1183096372080).

Almost surely, 213012322321031 is an apocalyptic number.

13012322321031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13012322321031 is a deficient number, since it is larger than the sum of its proper divisors (5917219632249).

13012322321031 is a wasteful number, since it uses less digits than its factorization.

13012322321031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52659766.

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

It can be divided in two parts, 1301232 and 2321031, that added together give a palindrome (3622263).

The spelling of 13012322321031 in words is "thirteen trillion, twelve billion, three hundred twenty-two million, three hundred twenty-one thousand, thirty-one".

Divisors: 1 3 11 33 7489 22467 82379 247137 52652263 157956789 579174893 1737524679 394312797607 1182938392821 4337440773677 13012322321031