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331201032222320 = 245134636611040581
BaseRepresentation
bin100101101001110011011111…
…1110111111111011001110000
31121102200111202101122210010222
41023103212333313333121300
5321402344203222103240
63132223353112112212
7126522325221466001
oct11323467767773160
91542614671583128
10331201032222320
1196592629329567
1231190b8b695668
13112a617ac3b5b0
145bb03034451a8
152845473c6beb5
hex12d39bfdff670

331201032222320 has 160 divisors (see below), whose sum is σ = 832325612584704. Its totient is φ = 121840762982400.

The previous prime is 331201032222311. The next prime is 331201032222349. The reversal of 331201032222320 is 23222230102133.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 331201032222320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317764430 + ... + 318805010.

Almost surely, 2331201032222320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331201032222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416162806292352).

331201032222320 is an abundant number, since it is smaller than the sum of its proper divisors (501124580362384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331201032222320 is a wasteful number, since it uses less digits than its factorization.

331201032222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041731 (or 1041725 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 331201032222320 its reverse (23222230102133), we get a palindrome (354423262324453).

The spelling of 331201032222320 in words is "three hundred thirty-one trillion, two hundred one billion, thirty-two million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 463 520 661 926 1040 1322 1852 2315 2644 3305 3704 4630 5288 6019 6610 7408 8593 9260 10576 12038 13220 17186 18520 24076 26440 30095 34372 37040 42965 48152 52880 60190 68744 85930 96304 120380 137488 171860 240760 306043 343720 481520 612086 687440 1040581 1224172 1530215 2081162 2448344 3060430 3978559 4162324 4896688 5202905 6120860 7957118 8324648 10405810 12241720 13527553 15914236 16649296 19892795 20811620 24483440 27055106 31828472 39785590 41623240 54110212 63656944 67637765 79571180 83246480 108220424 135275530 159142360 216440848 270551060 318284720 481789003 541102120 687824041 963578006 1082204240 1375648082 1927156012 2408945015 2751296164 3439120205 3854312024 4817890030 5502592328 6263257039 6878240410 7708624048 8941712533 9635780060 11005184656 12526514078 13756480820 17883425066 19271560120 25053028156 27512961640 31316285195 35766850132 38543120240 44708562665 50106056312 55025923280 62632570390 71533700264 89417125330 100212112624 125265140780 143067400528 178834250660 250530281560 318462530983 357668501320 501060563120 636925061966 715337002640 1273850123932 1592312654915 2547700247864 3184625309830 4140012902779 5095400495728 6369250619660 8280025805558 12738501239320 16560051611116 20700064513895 25477002478640 33120103222232 41400129027790 66240206444464 82800258055580 165600516111160 331201032222320