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3121311200220 = 22325307178931573
BaseRepresentation
bin101101011010111100101…
…001010011001111011100
3102001101122112200202111200
4231122330221103033130
5402114421131401340
610345524403315500
7441336000305463
oct55327451231734
912041575622450
103121311200220
11aa3816888a44
12424b2097bb90
13198452574195
14ab1024379da
15562d489d330
hex2d6bca533dc

3121311200220 has 144 divisors (see below), whose sum is σ = 9504428213280. Its totient is φ = 829148410368.

The previous prime is 3121311200219. The next prime is 3121311200323. The reversal of 3121311200220 is 220021131213.

3121311200220 is a `hidden beast` number, since 31 + 213 + 1 + 1 + 200 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3121311200193 and 3121311200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98844354 + ... + 98875926.

Almost surely, 23121311200220 is an apocalyptic number.

3121311200220 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 3121311200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752214106640).

3121311200220 is an abundant number, since it is smaller than the sum of its proper divisors (6383117013060).

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

3121311200220 is a wasteful number, since it uses less digits than its factorization.

3121311200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33684 (or 33679 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3121311200220 its reverse (220021131213), we get a palindrome (3341332331433).

The spelling of 3121311200220 in words is "three trillion, one hundred twenty-one billion, three hundred eleven million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1789 1842 2763 3070 3578 3684 4605 5367 5526 6140 7156 8945 9210 10734 11052 13815 16101 17890 18420 21468 26835 27630 31573 32202 35780 53670 55260 63146 64404 80505 94719 107340 126292 157865 161010 189438 284157 315730 322020 378876 473595 549223 568314 631460 947190 1098446 1136628 1420785 1647669 1894380 2196892 2746115 2841570 3295338 4943007 5492230 5683140 6590676 8238345 9692911 9886014 10984460 16476690 19385822 19772028 24715035 29078733 32953380 38771644 48464555 49430070 56484097 58157466 87236199 96929110 98860140 112968194 116314932 145393665 169452291 174472398 193858220 225936388 282420485 290787330 338904582 348944796 436180995 508356873 564840970 581574660 677809164 847261455 872361990 1016713746 1129681940 1694522910 1744723980 2033427492 2541784365 3389045820 5083568730 10167137460 17340617779 34681235558 52021853337 69362471116 86703088895 104043706674 156065560011 173406177790 208087413348 260109266685 312131120022 346812355580 520218533370 624262240044 780327800055 1040437066740 1560655600110 3121311200220