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323201323112221 = 1721012109630789
BaseRepresentation
bin100100101111100110010110…
…0000011100001011100011101
31120101100202002220122010012201
41021133030230003201130131
5314330312302204042341
63103220345454531501
7125035345040134111
oct11137145403413435
91511322086563181
10323201323112221
1193a88a03068204
12302ba6b9206b91
1310b459a56a5748
1459b5055687741
15275731c616331
hex125f32c0e171d

323201323112221 has 18 divisors (see below), whose sum is σ = 346764491016590. Its totient is φ = 301177700793600.

The previous prime is 323201323112197. The next prime is 323201323112231. The reversal of 323201323112221 is 122211323102323.

It can be written as a sum of positive squares in 9 ways, for example, as 11114155764100 + 312087167348121 = 3333790^2 + 17665989^2 .

It is not a de Polignac number, because 323201323112221 - 223 = 323201314723613 is a prime.

It is a super-2 number, since 2×3232013231122212 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 323201323112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323201323112231) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51867306 + ... + 57763483.

Almost surely, 2323201323112221 is an apocalyptic number.

It is an amenable number.

323201323112221 is a deficient number, since it is larger than the sum of its proper divisors (23563167904369).

323201323112221 is a wasteful number, since it uses less digits than its factorization.

323201323112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109631025 (or 109630907 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 323201323112221 its reverse (122211323102323), we get a palindrome (445412646214544).

The spelling of 323201323112221 in words is "three hundred twenty-three trillion, two hundred one billion, three hundred twenty-three million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 17 101 289 1717 10201 29189 173417 2948089 109630789 1863723413 11072709689 31683298021 188236064713 1118343678589 3200013100121 19011842536013 323201323112221