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3313001220 = 223543229863
BaseRepresentation
bin1100010101111000…
…0110001100000100
322112212222220021220
43011132012030010
523241112014340
61304425040340
7145046021454
oct30536061404
98485886256
103313001220
111450114941
127856260b0
1340a4b4c69
14236001d64
15145cbeed0
hexc5786304

3313001220 has 72 divisors (see below), whose sum is σ = 9497468736. Its totient is φ = 862892352.

The previous prime is 3313001183. The next prime is 3313001231. The reversal of 3313001220 is 221003133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3313001220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96009 + ... + 125871.

It is an arithmetic number, because the mean of its divisors is an integer number (131909288).

Almost surely, 23313001220 is an apocalyptic number.

3313001220 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 3313001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748734368).

3313001220 is an abundant number, since it is smaller than the sum of its proper divisors (6184467516).

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

3313001220 is a wasteful number, since it uses less digits than its factorization.

3313001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29961 (or 29916 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3313001220 is about 57558.6763225146. The cubic root of 3313001220 is about 1490.7581715689.

Adding to 3313001220 its reverse (221003133), we get a palindrome (3534004353).

It can be divided in two parts, 331300 and 1220, that added together give a triangular number (332520 = T815).

The spelling of 3313001220 in words is "three billion, three hundred thirteen million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1849 2580 3698 5547 7396 9245 11094 18490 22188 27735 29863 36980 55470 59726 89589 110940 119452 149315 179178 298630 358356 447945 597260 895890 1284109 1791780 2568218 3852327 5136436 6420545 7704654 12841090 15409308 19261635 25682180 38523270 55216687 77046540 110433374 165650061 220866748 276083435 331300122 552166870 662600244 828250305 1104333740 1656500610 3313001220