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12130284001 = 112235742533
BaseRepresentation
bin10110100110000010…
…10111000111100001
31011022101021021101211
423103001113013201
5144320323042001
65323402030121
7606412466323
oct132301270741
934271237354
1012130284001
115165257a00
1224264a8341
1311b414c654
14831053613
154aee08351
hex2d30571e1

12130284001 has 12 divisors (see below), whose sum is σ = 13339257876. Its totient is φ = 11022593120.

The previous prime is 12130283983. The next prime is 12130284017. The reversal of 12130284001 is 10048203121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2952835600 + 9177448401 = 54340^2 + 95799^2 .

It is not a de Polignac number, because 12130284001 - 29 = 12130283489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12130284701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263931 + ... + 306463.

It is an arithmetic number, because the mean of its divisors is an integer number (1111604823).

Almost surely, 212130284001 is an apocalyptic number.

12130284001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12130284001 is a deficient number, since it is larger than the sum of its proper divisors (1208973875).

12130284001 is a wasteful number, since it uses less digits than its factorization.

12130284001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44912 (or 44901 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12130284001 its reverse (10048203121), we get a palindrome (22178487122).

The spelling of 12130284001 in words is "twelve billion, one hundred thirty million, two hundred eighty-four thousand, one".

Divisors: 1 11 121 2357 25927 42533 285197 467863 5146493 100250281 1102753091 12130284001