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13123266232131 = 32111011312457869
BaseRepresentation
bin1011111011110111111110…
…0111110011111101000011
31201110120102222122220221100
42332331333213303331003
53210002422123412011
643524424551425443
72523060525315426
oct276757747637503
951416388586840
1013123266232131
1141aa600735410
12157b463385283
13742698760b03
143352530779bd
1517b57626ed56
hexbef7f9f3f43

13123266232131 has 24 divisors (see below), whose sum is σ = 20883829627440. Its totient is φ = 7874747208000.

The previous prime is 13123266232093. The next prime is 13123266232163.

13123266232131 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 2 + 6 + 623 + 21 + 3 + 1 = 666.

13123266232131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13123266232131 - 218 = 13123265969987 is a prime.

It is a super-2 number, since 2×131232662321312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13123266230131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656218936 + ... + 656238933.

It is an arithmetic number, because the mean of its divisors is an integer number (870159567810).

Almost surely, 213123266232131 is an apocalyptic number.

13123266232131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13123266232131 is a deficient number, since it is larger than the sum of its proper divisors (7760563395309).

13123266232131 is a wasteful number, since it uses less digits than its factorization.

13123266232131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312457987 (or 1312457984 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 1312326 and 6232131, that added together give a palindrome (7544457).

The spelling of 13123266232131 in words is "thirteen trillion, one hundred twenty-three billion, two hundred sixty-six million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9999 1312457869 3937373607 11812120821 14437036559 43311109677 129933329031 132558244769 397674734307 1193024202921 1458140692459 4374422077377 13123266232131