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3312123333220 = 2251355730017621
BaseRepresentation
bin110000001100101001111…
…011110100101001100100
3102201122011120101102220201
4300030221323310221210
5413231212033130340
611013322441440244
7461202334546312
oct60145173645144
912648146342821
103312123333220
111067733302729
12455ab34a0084
131b0441216460
14b644419d0b2
155b2513d679a
hex30329ef4a64

3312123333220 has 96 divisors (see below), whose sum is σ = 7507427681376. Its totient is φ = 1220175360000.

The previous prime is 3312123333217. The next prime is 3312123333221. The reversal of 3312123333220 is 223333212133.

It can be written as a sum of positive squares in 16 ways, for example, as 1252416144996 + 2059707188224 = 1119114^2 + 1435168^2 .

It is not an unprimeable number, because it can be changed into a prime (3312123333221) 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, 434601010 + ... + 434608630.

It is an arithmetic number, because the mean of its divisors is an integer number (78202371681).

Almost surely, 23312123333220 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 3312123333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753713840688).

3312123333220 is an abundant number, since it is smaller than the sum of its proper divisors (4195304348156).

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

3312123333220 is a wasteful number, since it uses less digits than its factorization.

3312123333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11201 (or 11199 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 3312123333220 its reverse (223333212133), we get a palindrome (3535456545353).

The spelling of 3312123333220 in words is "three trillion, three hundred twelve billion, one hundred twenty-three million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 557 1114 2228 2785 3001 5570 6002 7241 7621 11140 12004 14482 15005 15242 28964 30010 30484 36205 38105 39013 60020 72410 76210 78026 99073 144820 152420 156052 195065 198146 390130 396292 495365 780260 990730 1671557 1981460 3343114 4244897 6686228 8357785 8489794 16715570 16979588 21224485 21730241 22870621 33431140 42448970 43460482 45741242 55183661 84897940 86920964 91482484 108651205 110367322 114353105 217302410 220734644 228706210 275918305 297318073 434604820 457412420 551836610 594636146 1103673220 1189272292 1486590365 2973180730 5946361460 12738935897 25477871794 50955743588 63694679485 127389358970 165606166661 254778717940 331212333322 662424666644 828030833305 1656061666610 3312123333220