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13131523124244 = 2232752109218747
BaseRepresentation
bin1011111100010110101111…
…0001010110110000010100
31201111100202102110111120100
42333011223301112300110
53210121324404433434
643532312145334100
72523502245614250
oct277055361266024
951440672414510
1013131523124244
114203058513698
121580b88637330
137433b328a6a5
143357d78d3260
1517b8ab0b1699
hexbf16bc56c14

13131523124244 has 36 divisors (see below), whose sum is σ = 37935511248544. Its totient is φ = 3751863749712.

The previous prime is 13131523124243. The next prime is 13131523124263. The reversal of 13131523124244 is 44242132513131.

13131523124244 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 523 + 124 + 2 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13131523124199 and 13131523124208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131523124243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26054609122 + ... + 26054609625.

Almost surely, 213131523124244 is an apocalyptic number.

13131523124244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13131523124244 is an abundant number, since it is smaller than the sum of its proper divisors (24803988124300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131523124244 is a wasteful number, since it uses less digits than its factorization.

13131523124244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52109218764 (or 52109218759 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 13131523124244 its reverse (44242132513131), we get a palindrome (57373655637375).

The spelling of 13131523124244 in words is "thirteen trillion, one hundred thirty-one billion, five hundred twenty-three million, one hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 52109218747 104218437494 156327656241 208436874988 312655312482 364764531229 468982968723 625310624964 729529062458 937965937446 1094293593687 1459058124916 1875931874892 2188587187374 3282880781061 4377174374748 6565761562122 13131523124244