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12002311321 = 7211131725927
BaseRepresentation
bin10110010110110010…
…01011110010011001
31010222110110120212221
423023121023302121
5144040042430241
65302551104041
7603266651200
oct131331136231
933873416787
1012002311321
1150a9aa0160
1223ab672021
131193793880
1481c060237
154a3a7a5d1
hex2cb64bc99

12002311321 has 72 divisors (see below), whose sum is σ = 17427324096. Its totient is φ = 8123834880.

The previous prime is 12002311319. The next prime is 12002311331. The reversal of 12002311321 is 12311320021.

It is not a de Polignac number, because 12002311321 - 21 = 12002311319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002311295 and 12002311304.

It is not an unprimeable number, because it can be changed into a prime (12002311301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2022060 + ... + 2027986.

It is an arithmetic number, because the mean of its divisors is an integer number (242046168).

Almost surely, 212002311321 is an apocalyptic number.

12002311321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002311321 is a deficient number, since it is larger than the sum of its proper divisors (5425012775).

12002311321 is a wasteful number, since it uses less digits than its factorization.

12002311321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5999 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12002311321 its reverse (12311320021), we get a palindrome (24313631342).

It can be divided in two parts, 12002 and 311321, that added together give a palindrome (323323).

The spelling of 12002311321 in words is "twelve billion, two million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 7 11 13 17 49 77 91 119 143 187 221 289 539 637 833 1001 1309 1547 2023 2431 3179 3757 5927 7007 9163 10829 14161 17017 22253 26299 41327 41489 65197 77051 100759 119119 155771 184093 289289 290423 456379 539357 705313 847561 1108349 1309867 1712903 2025023 3194653 3775499 4937191 5932927 7758443 9169069 11990321 14408537 18841933 22267739 41530489 54309101 64183483 83932247 100859759 131893531 155874173 244945129 706018313 923254717 1091119211 1714615903 12002311321