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12320002321 = 1121011008101
BaseRepresentation
bin10110111100101010…
…00101000100010001
31011210121020222000021
423132111011010101
5200212410033241
65354300223441
7614205202054
oct133625050421
934717228007
1012320002321
115252358100
122479b3ab81
131214546b03
1484c31aa9b
154c18d10d1
hex2de545111

12320002321 has 12 divisors (see below), whose sum is σ = 13675911732. Its totient is φ = 11089100000.

The previous prime is 12320002307. The next prime is 12320002339.

12320002321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 6314527296 + 6005475025 = 79464^2 + 77495^2 .

It is not a de Polignac number, because 12320002321 - 27 = 12320002193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12320002295 and 12320002304.

It is not an unprimeable number, because it can be changed into a prime (12320000321) 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, 491830 + ... + 516271.

It is an arithmetic number, because the mean of its divisors is an integer number (1139659311).

Almost surely, 212320002321 is an apocalyptic number.

12320002321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12320002321 is a deficient number, since it is larger than the sum of its proper divisors (1355909411).

12320002321 is a wasteful number, since it uses less digits than its factorization.

12320002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008224 (or 1008213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 1232000 and 2321, that added together give a palindrome (1234321).

The spelling of 12320002321 in words is "twelve billion, three hundred twenty million, two thousand, three hundred twenty-one".

Divisors: 1 11 101 121 1111 12221 1008101 11089111 101818201 121980221 1120000211 12320002321