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13121244212131 = 1121011073663711
BaseRepresentation
bin1011111011110000011100…
…0110011010101110100011
31201110101020001212122221201
42332330013012122232203
53204434302004242011
643523452200502031
72522656443402406
oct276740706325643
951411201778851
1013121244212131
1141a9763318900
12157ab9a17a917
13742435876a83
143351006c9d3d
1517b4a89accc1
hexbef0719aba3

13121244212131 has 12 divisors (see below), whose sum is σ = 14565321916992. Its totient is φ = 11810300810000.

The previous prime is 13121244212129. The next prime is 13121244212173.

13121244212131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13121244212131 - 21 = 13121244212129 is a prime.

It is a super-2 number, since 2×131212442121312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13121244212131.

It is not an unprimeable number, because it can be changed into a prime (13121244212731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536819635 + ... + 536844076.

It is an arithmetic number, because the mean of its divisors is an integer number (1213776826416).

Almost surely, 213121244212131 is an apocalyptic number.

13121244212131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13121244212131 is a deficient number, since it is larger than the sum of its proper divisors (1444077704861).

13121244212131 is a wasteful number, since it uses less digits than its factorization.

13121244212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073663834 (or 1073663823 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1312124 and 4212131, that added together give a palindrome (5524255).

The spelling of 13121244212131 in words is "thirteen trillion, one hundred twenty-one billion, two hundred forty-four million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 11 101 121 1111 12221 1073663711 11810300821 108440034811 129913309031 1192840382921 13121244212131