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131626105 = 5136189373
BaseRepresentation
bin1111101100001…
…11010001111001
3100011200022001221
413312013101321
5232144013410
621021112041
73155542402
oct766072171
9304608057
10131626105
1168332706
12380b8621
1321367990
14136a49a9
15b8504da
hex7d87479

131626105 has 32 divisors (see below), whose sum is σ = 175301280. Its totient is φ = 94279680.

The previous prime is 131626067. The next prime is 131626151. The reversal of 131626105 is 501626131.

It can be written as a sum of positive squares in 16 ways, for example, as 105083001 + 26543104 = 10251^2 + 5152^2 .

It is not a de Polignac number, because 131626105 - 215 = 131593337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131626105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352699 + ... + 353071.

It is an arithmetic number, because the mean of its divisors is an integer number (5478165).

Almost surely, 2131626105 is an apocalyptic number.

It is an amenable number.

131626105 is a deficient number, since it is larger than the sum of its proper divisors (43675175).

131626105 is a wasteful number, since it uses less digits than its factorization.

131626105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 131626105 is about 11472.8420628892. The cubic root of 131626105 is about 508.6831399196.

The spelling of 131626105 in words is "one hundred thirty-one million, six hundred twenty-six thousand, one hundred five".

Divisors: 1 5 13 61 65 89 305 373 445 793 1157 1865 3965 4849 5429 5785 22753 24245 27145 33197 70577 113765 165985 295789 352885 431561 1478945 2025017 2157805 10125085 26325221 131626105