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12416346131 = 72253394819
BaseRepresentation
bin10111001000001001…
…00110100000010011
31012001022112201212112
423210010212200103
5200412041034011
65412021215535
7616455125600
oct134404464023
935038481775
1012416346131
1152a1781692
1224a62615ab
13122b4aa397
1485b0396a7
154ca0b258b
hex2e4126813

12416346131 has 6 divisors (see below), whose sum is σ = 14443504740. Its totient is φ = 10642582356.

The previous prime is 12416346113. The next prime is 12416346139. The reversal of 12416346131 is 13164361421.

It is a happy number.

It is not a de Polignac number, because 12416346131 - 26 = 12416346067 is a prime.

It is a super-3 number, since 3×124163461313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12416346139) 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 5 ways as a sum of consecutive naturals, for example, 126697361 + ... + 126697458.

It is an arithmetic number, because the mean of its divisors is an integer number (2407250790).

Almost surely, 212416346131 is an apocalyptic number.

12416346131 is a deficient number, since it is larger than the sum of its proper divisors (2027158609).

12416346131 is an equidigital number, since it uses as much as digits as its factorization.

12416346131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253394833 (or 253394826 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The spelling of 12416346131 in words is "twelve billion, four hundred sixteen million, three hundred forty-six thousand, one hundred thirty-one".

Divisors: 1 7 49 253394819 1773763733 12416346131