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131291000417 = 189617692401
BaseRepresentation
bin111101001000110001…
…1011010111001100001
3110112212220011212021002
41322101203122321201
54122340444003132
6140151513441345
712325341042653
oct1722143327141
9415786155232
10131291000417
115075338a925
1221541110255
13c4c44ab3c5
1464d6b266d3
153636377262
hex1e918dae61

131291000417 has 4 divisors (see below), whose sum is σ = 131291882436. Its totient is φ = 131290118400.

The previous prime is 131291000413. The next prime is 131291000431. The reversal of 131291000417 is 714000192131.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 48301490176 + 82989510241 = 219776^2 + 288079^2 .

It is a cyclic number.

It is not a de Polignac number, because 131291000417 - 22 = 131291000413 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131291000417.

It is not an unprimeable number, because it can be changed into a prime (131291000413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156584 + ... + 535817.

It is an arithmetic number, because the mean of its divisors is an integer number (32822970609).

Almost surely, 2131291000417 is an apocalyptic number.

It is an amenable number.

131291000417 is a deficient number, since it is larger than the sum of its proper divisors (882019).

131291000417 is an equidigital number, since it uses as much as digits as its factorization.

131291000417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882018.

The product of its (nonzero) digits is 1512, while the sum is 29.

Adding to 131291000417 its reverse (714000192131), we get a palindrome (845291192548).

The spelling of 131291000417 in words is "one hundred thirty-one billion, two hundred ninety-one million, four hundred seventeen", and thus it is an aban number.

Divisors: 1 189617 692401 131291000417