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3313311220 = 2251754118013
BaseRepresentation
bin1100010101111101…
…0001110111110100
322112220120122112101
43011133101313310
523241201424340
61304435431444
7145051452322
oct30537216764
98486518471
103313311220
11145030683a
12785755584
1340a5930ab
14236082d12
15145d31c9a
hexc57d1df4

3313311220 has 48 divisors (see below), whose sum is σ = 7381272528. Its totient is φ = 1244989440.

The previous prime is 3313311191. The next prime is 3313311233. The reversal of 3313311220 is 221133133.

It can be written as a sum of positive squares in 8 ways, for example, as 258759396 + 3054551824 = 16086^2 + 55268^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174934 + ... + 192946.

It is an arithmetic number, because the mean of its divisors is an integer number (153776511).

Almost surely, 23313311220 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 3313311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690636264).

3313311220 is an abundant number, since it is smaller than the sum of its proper divisors (4067961308).

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

3313311220 is a wasteful number, since it uses less digits than its factorization.

3313311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18580 (or 18578 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 3313311220 is about 57561.3691637021. The cubic root of 3313311220 is about 1490.8046672374.

Adding to 3313311220 its reverse (221133133), we get a palindrome (3534444353).

The spelling of 3313311220 in words is "three billion, three hundred thirteen million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 541 1082 2164 2705 5410 9197 10820 18013 18394 36026 36788 45985 72052 90065 91970 180130 183940 306221 360260 612442 1224884 1531105 3062210 6124420 9745033 19490066 38980132 48725165 97450330 165665561 194900660 331331122 662662244 828327805 1656655610 3313311220