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320204313440021 = 17312181271399583
BaseRepresentation
bin100100011001110010110000…
…0010110111010111100010101
31112222202020022011012020100002
41020303211200112322330111
5313432211413220040041
63053003455244301045
7124305666250216613
oct11063454026727425
91488666264166302
10320204313440021
119303298325601a
122bab58a8841785
13109891a255179a
14590dd8599a6b3
1527043b06a559b
hex12339605baf15

320204313440021 has 48 divisors (see below), whose sum is σ = 353565707249664. Its totient is φ = 288964915776000.

The previous prime is 320204313439943. The next prime is 320204313440029. The reversal of 320204313440021 is 120044313402023.

It is not a de Polignac number, because 320204313440021 - 238 = 319929435533077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320204313440029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801146396 + ... + 801545978.

It is an arithmetic number, because the mean of its divisors is an integer number (7365952234368).

Almost surely, 2320204313440021 is an apocalyptic number.

320204313440021 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

320204313440021 is a deficient number, since it is larger than the sum of its proper divisors (33361393809643).

320204313440021 is a wasteful number, since it uses less digits than its factorization.

320204313440021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400114 (or 400083 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 320204313440021 its reverse (120044313402023), we get a palindrome (440248626842044).

The spelling of 320204313440021 in words is "three hundred twenty trillion, two hundred four billion, three hundred thirteen million, four hundred forty thousand, twenty-one".

Divisors: 1 17 31 181 271 527 961 3077 4607 5611 8401 16337 49051 95387 142817 173941 260431 399583 833867 1520581 2956997 4427327 6792911 12387073 25849877 47138011 72324523 108286993 210580241 383999263 801346187 1229516891 1840878881 2242060213 3356896783 6527987471 19599945733 38115023621 57067245311 69503866603 104063800273 333199077461 607598317723 1181565732251 1769084604641 10329171401291 18835547849413 320204313440021