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3313303020 = 2232531758067
BaseRepresentation
bin1100010101111100…
…1111110111101100
322112220120020021200
43011133033313230
523241201144040
61304435325500
7145051416366
oct30537176754
98486506250
103313303020
111450300665
12785750890
1340a58c441
1423607dd36
15145d2e630
hexc57cfdec

3313303020 has 72 divisors (see below), whose sum is σ = 10082230704. Its totient is φ = 880745088.

The previous prime is 3313303013. The next prime is 3313303027. The reversal of 3313303020 is 203033133.

3313303020 is a `hidden beast` number, since 3 + 31 + 330 + 302 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3313303013) and next prime (3313303027).

It is a super-2 number, since 2×33133030202 = 21955953804682240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3313302984 and 3313303002.

It is not an unprimeable number, because it can be changed into a prime (3313303027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28027 + ... + 86093.

It is an arithmetic number, because the mean of its divisors is an integer number (140030982).

Almost surely, 23313303020 is an apocalyptic number.

3313303020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041115352).

3313303020 is an abundant number, since it is smaller than the sum of its proper divisors (6768927684).

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

3313303020 is a wasteful number, since it uses less digits than its factorization.

3313303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58399 (or 58394 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3313303020 is about 57561.2979353315. The cubic root of 3313303020 is about 1490.8034373894.

Adding to 3313303020 its reverse (203033133), we get a palindrome (3516336153).

The spelling of 3313303020 in words is "three billion, three hundred thirteen million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 9510 11412 14265 19020 28530 57060 58067 116134 174201 232268 290335 348402 522603 580670 696804 871005 1045206 1161340 1742010 2090412 2613015 3484020 5226030 10452060 18407239 36814478 55221717 73628956 92036195 110443434 165665151 184072390 220886868 276108585 331330302 368144780 552217170 662660604 828325755 1104434340 1656651510 3313303020