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331231221312213 = 31938367778728477
BaseRepresentation
bin100101101010000001100011…
…1010010001110101011010101
31121102210101200022202110002110
41023110003013102032223111
5321403343020123442323
63132245304501101233
7126524444305512225
oct11324030722165325
91542711608673073
10331231221312213
11965a4410283632
12311969b59b7819
13112a8c7c53aab1
145bb1968a32085
15284613e297793
hex12d40c748ead5

331231221312213 has 64 divisors (see below), whose sum is σ = 467397740298240. Its totient is φ = 208072214767872.

The previous prime is 331231221312179. The next prime is 331231221312221. The reversal of 331231221312213 is 312213122132133.

It is a happy number.

It is not a de Polignac number, because 331231221312213 - 29 = 331231221311701 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331231221312613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11631520731 + ... + 11631549207.

It is an arithmetic number, because the mean of its divisors is an integer number (7303089692160).

Almost surely, 2331231221312213 is an apocalyptic number.

It is an amenable number.

331231221312213 is a deficient number, since it is larger than the sum of its proper divisors (136166518986027).

331231221312213 is a wasteful number, since it uses less digits than its factorization.

331231221312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30346.

The product of its digits is 7776, while the sum is 30.

Adding to 331231221312213 its reverse (312213122132133), we get a palindrome (643444343444346).

The spelling of 331231221312213 in words is "three hundred thirty-one trillion, two hundred thirty-one billion, two hundred twenty-one million, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 19 57 383 677 787 1149 2031 2361 7277 12863 14953 21831 28477 38589 44859 85431 259291 301421 532799 541063 777873 904263 1598397 1623189 4926529 5726999 10123181 10906691 14779587 17180997 19278929 22411399 30369543 32720073 57836787 67234197 204062017 207227129 366299651 425816581 612186051 621681387 1098898953 1277449743 3877178323 7383829807 8583565817 11631534969 15172517123 22151489421 25750697451 45517551369 140292766333 163087750523 288277825337 420878298999 489263251569 864833476011 5811074058109 17433222174327 110410407104071 331231221312213