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331102013220 = 2232511374519547
BaseRepresentation
bin1001101000101110011…
…01111100011100100100
31011122122001212000001200
410310113031330130210
520411044103410340
6412034533122500
732631005450616
oct4642715743444
91148561760050
10331102013220
11118468500160
1254205489430
13252b85cab24
141204da90db6
15892ce1a330
hex4d1737c724

331102013220 has 144 divisors (see below), whose sum is σ = 1125258982848. Its totient is φ = 78097754880.

The previous prime is 331102013213. The next prime is 331102013279. The reversal of 331102013220 is 22310201133.

331102013220 is a `hidden beast` number, since 33 + 110 + 201 + 322 + 0 = 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 = 331102013193 and 331102013202.

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, 2186514 + ... + 2333033.

It is an arithmetic number, because the mean of its divisors is an integer number (7814298492).

Almost surely, 2331102013220 is an apocalyptic number.

331102013220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331102013220 is an abundant number, since it is smaller than the sum of its proper divisors (794156969628).

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

331102013220 is a wasteful number, since it uses less digits than its factorization.

331102013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519610 (or 4519605 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331102013220 its reverse (22310201133), we get a palindrome (353412214353).

The spelling of 331102013220 in words is "three hundred thirty-one billion, one hundred two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 4519547 9039094 13558641 18078188 22597735 27117282 40675923 45195470 49715017 54234564 67793205 81351846 90390940 99430034 135586410 149145051 162703692 167223239 198860068 203379615 248575085 271172820 298290102 334446478 406759230 447435153 497150170 501669717 596580204 668892956 745725255 813518460 836116195 894870306 994300340 1003339434 1491450510 1505009151 1672232390 1789740612 1839455629 2006678868 2237175765 2508348585 2982901020 3010018302 3344464780 3678911258 4474351530 5016697170 5518366887 6020036604 7357822516 7525045755 8948703060 9197278145 10033394340 11036733774 15050091510 16555100661 18394556290 22073467548 27591834435 30100183020 33110201322 36789112580 55183668870 66220402644 82775503305 110367337740 165551006610 331102013220