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331230022320 = 243517631128659
BaseRepresentation
bin1001101000111101101…
…10010000101010110000
31011122221222201112112110
410310132312100222300
520411324341203240
6412055344525320
732634121510161
oct4643666205260
91148858645473
10331230022320
111185237922aa
1254240320840
1325308c9a362
1412062a93768
1589392a3c80
hex4d1ed90ab0

331230022320 has 160 divisors (see below), whose sum is σ = 1088945303040. Its totient is φ = 82999848960.

The previous prime is 331230022297. The next prime is 331230022327. The reversal of 331230022320 is 23220032133.

It is a super-2 number, since 2×3312300223202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331230022327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2510151 + ... + 2638809.

It is an arithmetic number, because the mean of its divisors is an integer number (6805908144).

Almost surely, 2331230022320 is an apocalyptic number.

331230022320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331230022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544472651520).

331230022320 is an abundant number, since it is smaller than the sum of its proper divisors (757715280720).

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

331230022320 is a wasteful number, since it uses less digits than its factorization.

331230022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129323 (or 129317 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 331230022320 its reverse (23220032133), we get a palindrome (354450054453).

The spelling of 331230022320 in words is "three hundred thirty-one billion, two hundred thirty million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 631 680 816 1020 1262 1360 1893 2040 2524 3155 3786 4080 5048 6310 7572 9465 10096 10727 12620 15144 18930 21454 25240 30288 32181 37860 42908 50480 53635 64362 75720 85816 107270 128659 128724 151440 160905 171632 214540 257318 257448 321810 385977 429080 514636 514896 643295 643620 771954 858160 1029272 1286590 1287240 1543908 1929885 2058544 2187203 2573180 2574480 3087816 3859770 4374406 5146360 6175632 6561609 7719540 8748812 10292720 10936015 13123218 15439080 17497624 21872030 26246436 30878160 32808045 34995248 43744060 52492872 65616090 81183829 87488120 104985744 131232180 162367658 174976240 243551487 262464360 324735316 405919145 487102974 524928720 649470632 811838290 974205948 1217757435 1298941264 1380125093 1623676580 1948411896 2435514870 2760250186 3247353160 3896823792 4140375279 4871029740 5520500372 6494706320 6900625465 8280750558 9742059480 11041000744 13801250930 16561501116 19484118960 20701876395 22082001488 27602501860 33123002232 41403752790 55205003720 66246004464 82807505580 110410007440 165615011160 331230022320