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12131642042 = 213466601617
BaseRepresentation
bin10110100110001101…
…00010101010111010
31011022110211021021122
423103012202222322
5144321200021132
65323451105242
7606430153532
oct132306425272
934273737248
1012131642042
115165aa5253
122426a42222
1311b4506820
148312c84c2
154b00c5912
hex2d31a2aba

12131642042 has 8 divisors (see below), whose sum is σ = 19597267956. Its totient is φ = 5599219392.

The previous prime is 12131641999. The next prime is 12131642059. The reversal of 12131642042 is 24024613121.

12131642042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11796349321 + 335292721 = 108611^2 + 18311^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (26), and also a Moran number because the ratio is a prime number: 466601617 = 12131642042 / (1 + 2 + 1 + 3 + 1 + 6 + 4 + 2 + 0 + 4 + 2).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 233300783 + ... + 233300834.

Almost surely, 212131642042 is an apocalyptic number.

12131642042 is a deficient number, since it is larger than the sum of its proper divisors (7465625914).

12131642042 is a wasteful number, since it uses less digits than its factorization.

12131642042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466601632.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 12131642042 in words is "twelve billion, one hundred thirty-one million, six hundred forty-two thousand, forty-two".

Divisors: 1 2 13 26 466601617 933203234 6065821021 12131642042