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13154144145131 = 115933106364919
BaseRepresentation
bin1011111101101011000000…
…0101101100111011101011
31201120112010220220102112202
42333122300011230323223
53211004141400121011
643550532544330415
72525232645252413
oct277326005547353
951515126812482
1013154144145131
114211706495480
121585440313a0b
13745579988252
14336941d2d643
1517c281eb123b
hexbf6b016ceeb

13154144145131 has 16 divisors (see below), whose sum is σ = 14374858544640. Its totient is φ = 11937578862720.

The previous prime is 13154144145091. The next prime is 13154144145133.

13154144145131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13154144145131 - 26 = 13154144145067 is a prime.

It is a super-2 number, since 2×131541441451312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13154144145133) 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, 202591490 + ... + 202656408.

It is an arithmetic number, because the mean of its divisors is an integer number (898428659040).

Almost surely, 213154144145131 is an apocalyptic number.

13154144145131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13154144145131 is a deficient number, since it is larger than the sum of its proper divisors (1220714399509).

13154144145131 is a wasteful number, since it uses less digits than its factorization.

13154144145131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96586.

The product of its digits is 57600, while the sum is 38.

The spelling of 13154144145131 in words is "thirteen trillion, one hundred fifty-four billion, one hundred forty-four million, one hundred forty-five thousand, one hundred thirty-one".

Divisors: 1 11 593 6523 31063 64919 341693 714109 18420359 38496967 202623949 423466637 2016578897 22182367867 1195831285921 13154144145131