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3302112211220 = 2252359241504853
BaseRepresentation
bin110000000011010101001…
…110011011000100010100
3102200200022212200202021102
4300003111032123010110
5413100211211224340
611004545220405232
7460366263452564
oct60032516330424
912620285622242
103302112211220
111063466291589
12453b7a846818
131ac507133824
14b5b74782da4
155ad6757d215
hex300d539b114

3302112211220 has 96 divisors (see below), whose sum is σ = 7389123920640. Its totient is φ = 1236847011840.

The previous prime is 3302112211199. The next prime is 3302112211253. The reversal of 3302112211220 is 221122112033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3302112211192 and 3302112211201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6288314 + ... + 6793166.

It is an arithmetic number, because the mean of its divisors is an integer number (76970040840).

Almost surely, 23302112211220 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 3302112211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694561960320).

3302112211220 is an abundant number, since it is smaller than the sum of its proper divisors (4087011709420).

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

3302112211220 is a wasteful number, since it uses less digits than its factorization.

3302112211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505185 (or 505183 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3302112211220 its reverse (221122112033), we get a palindrome (3523234323253).

The spelling of 3302112211220 in words is "three trillion, three hundred two billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 241 295 460 482 590 964 1180 1205 1357 2410 2714 4820 5428 5543 6785 11086 13570 14219 22172 27140 27715 28438 55430 56876 71095 110860 142190 284380 327037 504853 654074 1009706 1308148 1635185 2019412 2524265 3270370 5048530 6540740 10097060 11611619 23223238 29786327 46446476 58058095 59572654 116116190 119145308 121669573 148931635 232232380 243339146 297863270 486678292 595726540 608347865 685085521 1216695730 1370171042 2433391460 2740342084 2798400179 3425427605 5596800358 6850855210 7178504807 11193600716 13701710420 13992000895 14357009614 27984001790 28714019228 35892524035 55968003580 71785048070 143570096140 165105610561 330211221122 660422442244 825528052805 1651056105610 3302112211220