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13123320214431 = 372571156347263
BaseRepresentation
bin1011111011111000001011…
…0101101111001110011111
31201110120120202020111201210
42332332002311233032133
53210003024433330211
643524434200435503
72523062052210300
oct276760265571637
951416522214653
1013123320214431
1141aa629156089
12157b479478b93
137426a69b19bb
1433525a2ca7a7
1517b57ad849a6
hexbef82d6f39f

13123320214431 has 24 divisors (see below), whose sum is σ = 20390184781824. Its totient is φ = 7485906904560.

The previous prime is 13123320214427. The next prime is 13123320214493. The reversal of 13123320214431 is 13441202332131.

It is not a de Polignac number, because 13123320214431 - 22 = 13123320214427 is a prime.

It is a super-2 number, since 2×131233202144312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123320214231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78089695 + ... + 78257568.

It is an arithmetic number, because the mean of its divisors is an integer number (849591032576).

Almost surely, 213123320214431 is an apocalyptic number.

13123320214431 is a deficient number, since it is larger than the sum of its proper divisors (7266864567393).

13123320214431 is a wasteful number, since it uses less digits than its factorization.

13123320214431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156347851 (or 156347844 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13123320214431 its reverse (13441202332131), we get a palindrome (26564522546562).

The spelling of 13123320214431 in words is "thirteen trillion, one hundred twenty-three billion, three hundred twenty million, two hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 571 1713 3997 11991 27979 83937 156347263 469041789 1094430841 3283292523 7661015887 22983047661 89274287173 267822861519 624920010211 1874760030633 4374440071477 13123320214431