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131197417 = 13411311879
BaseRepresentation
bin1111101000111…
…10100111101001
3100010212112000121
413310132213221
5232041304132
621004003241
73152105521
oct764364751
9303775017
10131197417
116806a61a
1237b30521
1321247810
14135d2681
15b7b8497
hex7d1e9e9

131197417 has 16 divisors (see below), whose sum is σ = 145918080. Its totient is φ = 117187200.

The previous prime is 131197399. The next prime is 131197427. The reversal of 131197417 is 714791131.

It is a happy number.

It is not a de Polignac number, because 131197417 - 27 = 131197289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131197427) 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 15 ways as a sum of consecutive naturals, for example, 68884 + ... + 70762.

It is an arithmetic number, because the mean of its divisors is an integer number (9119880).

Almost surely, 2131197417 is an apocalyptic number.

It is an amenable number.

131197417 is a deficient number, since it is larger than the sum of its proper divisors (14720663).

131197417 is a wasteful number, since it uses less digits than its factorization.

131197417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064.

The product of its digits is 5292, while the sum is 34.

The square root of 131197417 is about 11454.1440972252. The cubic root of 131197417 is about 508.1303024601.

The spelling of 131197417 in words is "one hundred thirty-one million, one hundred ninety-seven thousand, four hundred seventeen".

Divisors: 1 13 41 131 533 1703 1879 5371 24427 69823 77039 246149 1001507 3199937 10092109 131197417