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20513432400321 = 3719487174160637
BaseRepresentation
bin1001010101000001001111…
…10110011111000111000001
32200122001202101002212002110
410222200213312133013001
510142043002143302241
6111343424000205533
74215021656304240
oct452404766370701
980561671085073
1020513432400321
116599774895723
1223737830098a9
13b5a54027a483
1450cbd9406957
15258904d7e816
hex12a827d9f1c1

20513432400321 has 64 divisors (see below), whose sum is σ = 32990797598720. Its totient is φ = 11075665040640.

The previous prime is 20513432400277. The next prime is 20513432400323. The reversal of 20513432400321 is 12300423431502.

It is not a de Polignac number, because 20513432400321 - 26 = 20513432400257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20513432400323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338268615 + ... + 338329251.

It is an arithmetic number, because the mean of its divisors is an integer number (515481212480).

Almost surely, 220513432400321 is an apocalyptic number.

20513432400321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20513432400321 is a deficient number, since it is larger than the sum of its proper divisors (12477365198399).

20513432400321 is a wasteful number, since it uses less digits than its factorization.

20513432400321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62894.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 20513432400321 its reverse (12300423431502), we get a palindrome (32813855831823).

The spelling of 20513432400321 in words is "twenty trillion, five hundred thirteen billion, four hundred thirty-two million, four hundred thousand, three hundred twenty-one".

Divisors: 1 3 7 19 21 57 133 399 487 1461 1741 3409 5223 9253 10227 12187 27759 33079 36561 60637 64771 99237 181911 194313 231553 424459 694659 847867 1152103 1273377 2543601 3456309 5935069 8064721 16109473 17805207 24194163 29530219 48328419 88590657 105569017 112766311 206711533 316707051 338298933 561074161 620134599 738983119 1683222483 2005811323 2216949357 3927519127 6017433969 11782557381 14040679261 42122037783 51412111279 154236333837 359884778953 976830114301 1079654336859 2930490342903 6837810800107 20513432400321