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3313312420 = 22511971391117
BaseRepresentation
bin1100010101111101…
…0010001010100100
322112220120201011211
43011133102022210
523241201444140
61304435441204
7145051455655
oct30537221244
98486521154
103313312420
111450307730
12785756204
1340a5937c2
1423608352c
15145d322ea
hexc57d22a4

3313312420 has 96 divisors (see below), whose sum is σ = 7730835840. Its totient is φ = 1182781440.

The previous prime is 3313312367. The next prime is 3313312421. The reversal of 3313312420 is 242133133.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3313312391 and 3313312400.

It is not an unprimeable number, because it can be changed into a prime (3313312421) 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, 2965702 + ... + 2966818.

It is an arithmetic number, because the mean of its divisors is an integer number (80529540).

Almost surely, 23313312420 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 3313312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865417920).

3313312420 is an abundant number, since it is smaller than the sum of its proper divisors (4417523420).

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

3313312420 is a wasteful number, since it uses less digits than its factorization.

3313312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3313312420 is about 57561.3795873587. The cubic root of 3313312420 is about 1490.8048472150.

Adding to 3313312420 its reverse (242133133), we get a palindrome (3555445553).

The spelling of 3313312420 in words is "three billion, three hundred thirteen million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 139 194 220 278 388 485 556 695 970 1067 1117 1390 1529 1940 2134 2234 2780 3058 4268 4468 5335 5585 6116 7645 10670 11170 12287 13483 15290 21340 22340 24574 26966 30580 49148 53932 61435 67415 108349 122870 134830 148313 155263 216698 245740 269660 296626 310526 433396 541745 593252 621052 741565 776315 1083490 1191839 1483130 1552630 1707893 2166980 2383678 2966260 3105260 3415786 4767356 5959195 6831572 8539465 11918390 15060511 17078930 23836780 30121022 34157860 60242044 75302555 150605110 165665621 301210220 331331242 662662484 828328105 1656656210 3313312420