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12130100442 = 232673894469
BaseRepresentation
bin10110100110000001…
…01010010011011010
31011022100220221121100
423103000222103122
5144320301203232
65323354052230
7606411103215
oct132300522332
934270827540
1012130100442
115165141aa9
12242641a076
1311b40b6c35
1483100677c
154aedbdc7c
hex2d302a4da

12130100442 has 12 divisors (see below), whose sum is σ = 26281884330. Its totient is φ = 4043366808.

The previous prime is 12130100431. The next prime is 12130100449. The reversal of 12130100442 is 24400103121.

12130100442 is a `hidden beast` number, since 1 + 213 + 0 + 10 + 0 + 442 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8956918881 + 3173181561 = 94641^2 + 56331^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 673894469 = 12130100442 / (1 + 2 + 1 + 3 + 0 + 1 + 0 + 0 + 4 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (12130100449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336947217 + ... + 336947252.

Almost surely, 212130100442 is an apocalyptic number.

12130100442 is an abundant number, since it is smaller than the sum of its proper divisors (14151783888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12130100442 is a wasteful number, since it uses less digits than its factorization.

12130100442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673894477 (or 673894474 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12130100442 its reverse (24400103121), we get a palindrome (36530203563).

The spelling of 12130100442 in words is "twelve billion, one hundred thirty million, one hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 673894469 1347788938 2021683407 4043366814 6065050221 12130100442