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12130010321 = 1113211515669
BaseRepresentation
bin10110100110000000…
…10100010011010001
31011022100202100222112
423103000110103101
5144320240312241
65323352115105
7606410246402
oct132300242321
934270670875
1012130010321
115165090320
122426395a95
1311b4084c00
14830dc19a9
154aeda21eb
hex2d30144d1

12130010321 has 24 divisors (see below), whose sum is σ = 14343920640. Its totient is φ = 10168392000.

The previous prime is 12130010311. The next prime is 12130010371. The reversal of 12130010321 is 12301003121.

It is not a de Polignac number, because 12130010321 - 26 = 12130010257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12130010296 and 12130010305.

It is not an unprimeable number, because it can be changed into a prime (12130010311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2136875 + ... + 2142543.

It is an arithmetic number, because the mean of its divisors is an integer number (597663360).

Almost surely, 212130010321 is an apocalyptic number.

12130010321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12130010321 is a deficient number, since it is larger than the sum of its proper divisors (2213910319).

12130010321 is a wasteful number, since it uses less digits than its factorization.

12130010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12130010321 its reverse (12301003121), we get a palindrome (24431013442).

The spelling of 12130010321 in words is "twelve billion, one hundred thirty million, ten thousand, three hundred twenty-one".

Divisors: 1 11 13 143 169 1151 1859 5669 12661 14963 62359 73697 164593 194519 810667 958061 2139709 6525019 10538671 71775209 84825247 933077717 1102728211 12130010321