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12040400013 = 34197889431
BaseRepresentation
bin10110011011010100…
…11110110010001101
31011002010010200202020
423031222132302031
5144124320300023
65310431320353
7604241466015
oct131552366215
934063120666
1012040400013
115119545814
1224003800b9
13119b63b465
14823136c45
154a70a0de3
hex2cda9ec8d

12040400013 has 8 divisors (see below), whose sum is σ = 16445424576. Its totient is φ = 7831154400.

The previous prime is 12040399993. The next prime is 12040400023. The reversal of 12040400013 is 31000404021.

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

It is not a de Polignac number, because 12040400013 - 26 = 12040399949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12040399965 and 12040400001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040400023) 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 7 ways as a sum of consecutive naturals, for example, 48944593 + ... + 48944838.

It is an arithmetic number, because the mean of its divisors is an integer number (2055678072).

Almost surely, 212040400013 is an apocalyptic number.

It is an amenable number.

12040400013 is a deficient number, since it is larger than the sum of its proper divisors (4405024563).

12040400013 is an equidigital number, since it uses as much as digits as its factorization.

12040400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97889475.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12040400013 its reverse (31000404021), we get a palindrome (43040804034).

The spelling of 12040400013 in words is "twelve billion, forty million, four hundred thousand, thirteen".

Divisors: 1 3 41 123 97889431 293668293 4013466671 12040400013