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13012222221031 = 1117313615024057
BaseRepresentation
bin1011110101011010010011…
…1000100001101011100111
31201001221211010202200120111
42331112210320201223213
53201143012342033111
643401422105113451
72512046665642015
oct275264470415347
951057733680514
1013012222221031
1141674a8241310
121561a32a88887
1373507cb87577
1432db1b36b8b5
151787276a0a21
hexbd5a4e21ae7

13012222221031 has 16 divisors (see below), whose sum is σ = 14287697487648. Its totient is φ = 11752271795200.

The previous prime is 13012222220981. The next prime is 13012222221041.

13012222221031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13012222221031 - 27 = 13012222220903 is a prime.

It is a super-2 number, since 2×130122222210312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13012222220993 and 13012222221011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012222221041) 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, 77955 + ... + 5102011.

It is an arithmetic number, because the mean of its divisors is an integer number (892981092978).

Almost surely, 213012222221031 is an apocalyptic number.

13012222221031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13012222221031 is a deficient number, since it is larger than the sum of its proper divisors (1275475266617).

13012222221031 is a wasteful number, since it uses less digits than its factorization.

13012222221031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025602.

The product of its (nonzero) digits is 576, while the sum is 22.

Multiplying 13012222221031 by its sum of digits (22), we get a palindrome (286268888862682).

It can be divided in two parts, 1301222 and 2221031, that added together give a palindrome (3522253).

The spelling of 13012222221031 in words is "thirteen trillion, twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, thirty-one".

Divisors: 1 11 173 1361 1903 14971 235453 2589983 5024057 55264627 869161861 6837741577 9560780471 75215157347 1182929292821 13012222221031