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130333332321 = 32331129133889
BaseRepresentation
bin111100101100001111…
…0001101001101100001
3110110102011011021121100
41321120132031031201
54113410313113241
6135512503345013
712262532021463
oct1713036151541
9413364137540
10130333332321
115030184a695
1221314452169
13c3a0c732aa
146445878133
1535cc2589b6
hex1e5878d361

130333332321 has 24 divisors (see below), whose sum is σ = 188979858080. Its totient is φ = 86556729600.

The previous prime is 130333332313. The next prime is 130333332359. The reversal of 130333332321 is 123233333031.

130333332321 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 3 + 3 + 332 + 321 = 666.

It is not a de Polignac number, because 130333332321 - 23 = 130333332313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130333332221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3828945 + ... + 3862833.

Almost surely, 2130333332321 is an apocalyptic number.

It is an amenable number.

130333332321 is a deficient number, since it is larger than the sum of its proper divisors (58646525759).

130333332321 is a wasteful number, since it uses less digits than its factorization.

130333332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35517 (or 35514 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 130333332321 its reverse (123233333031), we get a palindrome (253566665352).

The spelling of 130333332321 in words is "one hundred thirty billion, three hundred thirty-three million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 331 993 1291 2979 3873 11619 33889 101667 305001 427321 1281963 3845889 11217259 33651777 43750699 100955331 131252097 393756291 14481481369 43444444107 130333332321