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131187977 = 374098669
BaseRepresentation
bin1111101000111…
…00010100001001
3100010212001001222
413310130110021
5232041003402
621003451425
73152036144
oct764342411
9303761058
10131187977
1168063518
1237b26b75
132124342b
14135cd05b
15b7b57a2
hex7d1c509

131187977 has 8 divisors (see below), whose sum is σ = 135078600. Its totient is φ = 127315584.

The previous prime is 131187971. The next prime is 131188037. The reversal of 131187977 is 779781131.

It can be written as a sum of positive squares in 4 ways, for example, as 72267001 + 58920976 = 8501^2 + 7676^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131187977 - 24 = 131187961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131187971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10799 + ... + 19467.

It is an arithmetic number, because the mean of its divisors is an integer number (16884825).

Almost surely, 2131187977 is an apocalyptic number.

It is an amenable number.

131187977 is a deficient number, since it is larger than the sum of its proper divisors (3890623).

131187977 is an equidigital number, since it uses as much as digits as its factorization.

131187977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9115.

The product of its digits is 74088, while the sum is 44.

The square root of 131187977 is about 11453.7320118815. The cubic root of 131187977 is about 508.1181150629.

The spelling of 131187977 in words is "one hundred thirty-one million, one hundred eighty-seven thousand, nine hundred seventy-seven".

Divisors: 1 37 409 8669 15133 320753 3545621 131187977