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131974505 = 51329531321
BaseRepresentation
bin1111101110111…
…00010101101001
3100012022222222122
413313130111221
5232241141010
621032401025
73161523215
oct767342551
9305288878
10131974505
1168550443
1238246175
132145a430
1413755945
15b8bd855
hex7ddc569

131974505 has 32 divisors (see below), whose sum is σ = 179897760. Its totient is φ = 92252160.

The previous prime is 131974501. The next prime is 131974511. The reversal of 131974505 is 505479131.

It can be written as a sum of positive squares in 16 ways, for example, as 9916201 + 122058304 = 3149^2 + 11048^2 .

It is not a de Polignac number, because 131974505 - 22 = 131974501 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (131974501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99245 + ... + 100565.

It is an arithmetic number, because the mean of its divisors is an integer number (5621805).

Almost surely, 2131974505 is an apocalyptic number.

It is an amenable number.

131974505 is a deficient number, since it is larger than the sum of its proper divisors (47923255).

131974505 is a wasteful number, since it uses less digits than its factorization.

131974505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421.

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 131974505 is about 11488.0157120366. The cubic root of 131974505 is about 509.1315541866.

The spelling of 131974505 in words is "one hundred thirty-one million, nine hundred seventy-four thousand, five hundred five".

Divisors: 1 5 13 29 53 65 145 265 377 689 1321 1537 1885 3445 6605 7685 17173 19981 38309 70013 85865 99905 191545 350065 498017 910169 2030377 2490085 4550845 10151885 26394901 131974505