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13140142131 = 37360000649
BaseRepresentation
bin11000011110011011…
…01010100000110011
31020220202111101022210
430033031222200303
5203402334022011
610011514503203
7643424236164
oct141715524063
936822441283
1013140142131
1156332a42a6
122668734b03
13131542b93c
148c920976b
1551d8d56a6
hex30f36a833

13140142131 has 8 divisors (see below), whose sum is σ = 17760192400. Its totient is φ = 8640093312.

The previous prime is 13140142091. The next prime is 13140142153. The reversal of 13140142131 is 13124104131.

13140142131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 13140142131 - 215 = 13140109363 is a prime.

It is a super-2 number, since 2×131401421312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13140142098 and 13140142107.

It is not an unprimeable number, because it can be changed into a prime (13140142031) 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 7 ways as a sum of consecutive naturals, for example, 30000106 + ... + 30000543.

It is an arithmetic number, because the mean of its divisors is an integer number (2220024050).

Almost surely, 213140142131 is an apocalyptic number.

13140142131 is a deficient number, since it is larger than the sum of its proper divisors (4620050269).

13140142131 is an equidigital number, since it uses as much as digits as its factorization.

13140142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60000725.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13140142131 its reverse (13124104131), we get a palindrome (26264246262).

The spelling of 13140142131 in words is "thirteen billion, one hundred forty million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 73 219 60000649 180001947 4380047377 13140142131