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1314500054131 = 11267426138053
BaseRepresentation
bin10011001000001110010…
…011110000110001110011
311122122221202202112010001
4103020032103300301303
5133014044003213011
62443512322050431
7163653352050565
oct23101623606163
94578852675101
101314500054131
11467527014500
121929134a9a17
1396c591a9c24
144789d22d335
15242d6dd27c1
hex1320e4f0c73

1314500054131 has 24 divisors (see below), whose sum is σ = 1466811522512. Its totient is φ = 1176857035200.

The previous prime is 1314500054107. The next prime is 1314500054137.

1314500054131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1314500054131 - 29 = 1314500053619 is a prime.

It is a super-2 number, since 2×13145000541312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1314500054131.

It is not an unprimeable number, because it can be changed into a prime (1314500054137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34524901 + ... + 34562953.

Almost surely, 21314500054131 is an apocalyptic number.

1314500054131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1314500054131 is a deficient number, since it is larger than the sum of its proper divisors (152311468381).

1314500054131 is a wasteful number, since it uses less digits than its factorization.

1314500054131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42403 (or 42392 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 13145000 and 54131, that added together give a palindrome (13199131).

The spelling of 1314500054131 in words is "one trillion, three hundred fourteen billion, five hundred million, fifty-four thousand, one hundred thirty-one".

Divisors: 1 11 67 121 737 4261 8107 38053 46871 285487 418583 515581 2549551 3140357 4604413 28045061 34543927 162143833 308495671 1783582163 10863636811 19619403793 119500004921 1314500054131