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3212134210220 = 22513231249430061
BaseRepresentation
bin101110101111100010000…
…111100101101010101100
3102101002002011012201002212
4232233202013211222230
5410111422324211340
610455344543505552
7451032452202215
oct56574207455254
912332064181085
103212134210220
111029293026691
1243a6492b82b8
131a3b97a44810
14b167a77040c
155884d0e9a65
hex2ebe21e5aac

3212134210220 has 96 divisors (see below), whose sum is σ = 7586293680000. Its totient is φ = 1133541826560.

The previous prime is 3212134210211. The next prime is 3212134210223. The reversal of 3212134210220 is 220124312123.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (3212134210223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7253990 + ... + 7684050.

It is an arithmetic number, because the mean of its divisors is an integer number (79023892500).

Almost surely, 23212134210220 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 3212134210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793146840000).

3212134210220 is an abundant number, since it is smaller than the sum of its proper divisors (4374159469780).

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

3212134210220 is a wasteful number, since it uses less digits than its factorization.

3212134210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431355 (or 431353 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 3212134210220 its reverse (220124312123), we get a palindrome (3432258522343).

The spelling of 3212134210220 in words is "three trillion, two hundred twelve billion, one hundred thirty-four million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1249 1495 2498 2990 4996 5980 6245 12490 16237 24980 28727 32474 57454 64948 81185 114908 143635 162370 287270 324740 373451 430061 574540 746902 860122 1493804 1720244 1867255 2150305 3734510 4300610 5590793 7469020 8601220 9891403 11181586 19782806 22363172 27953965 39565612 49457015 55907930 98914030 111815860 128588239 197828060 257176478 514352956 537146189 642941195 1074292378 1285882390 2148584756 2571764780 2685730945 5371461890 6982900457 10742923780 12354362347 13965800914 24708724694 27931601828 34914502285 49417449388 61771811735 69829004570 123543623470 139658009140 160606710511 247087246940 321213421022 642426842044 803033552555 1606067105110 3212134210220