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131411817 = 32971091381
BaseRepresentation
bin1111101010100…
…10111101101001
3100011021102010100
413311102331221
5232120134232
621012340013
73153660555
oct765227551
9304242110
10131411817
11681a6709
1238014609
13212c1294
141364a865
15b80bc7c
hex7d52f69

131411817 has 24 divisors (see below), whose sum is σ = 193673480. Its totient is φ = 85847040.

The previous prime is 131411801. The next prime is 131411831. The reversal of 131411817 is 718114131.

It can be written as a sum of positive squares in 4 ways, for example, as 24413481 + 106998336 = 4941^2 + 10344^2 .

It is not a de Polignac number, because 131411817 - 24 = 131411801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131411837) 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 23 ways as a sum of consecutive naturals, for example, 94467 + ... + 95847.

Almost surely, 2131411817 is an apocalyptic number.

It is an amenable number.

131411817 is a deficient number, since it is larger than the sum of its proper divisors (62261663).

131411817 is a wasteful number, since it uses less digits than its factorization.

131411817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1590 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 131411817 is about 11463.4993348454. The cubic root of 131411817 is about 508.4069436953.

Adding to 131411817 its reverse (718114131), we get a palindrome (849525948).

It can be divided in two parts, 1314 and 11817, that added together give a palindrome (13131).

The spelling of 131411817 in words is "one hundred thirty-one million, four hundred eleven thousand, eight hundred seventeen".

Divisors: 1 3 9 97 109 291 327 873 981 1381 4143 10573 12429 31719 95157 133957 150529 401871 451587 1205613 1354761 14601313 43803939 131411817