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3313013100 = 2235211397729
BaseRepresentation
bin1100010101111000…
…1001000101101100
322112220000111120220
43011132021011230
523241112404400
61304425211340
7145046101215
oct30536110554
98486014526
103313013100
111450122861
12785630b50
1340a4ba4a7
1423600640c
15145cc37a0
hexc578916c

3313013100 has 72 divisors (see below), whose sum is σ = 9670578960. Its totient is φ = 875642880.

The previous prime is 3313013083. The next prime is 3313013111. The reversal of 3313013100 is 13103133.

It is a super-2 number, since 2×33130131002 = 21952111601543220000, which contains 22 as substring.

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 3313013100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14965 + ... + 82764.

Almost surely, 23313013100 is an apocalyptic number.

3313013100 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 3313013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835289480).

3313013100 is an abundant number, since it is smaller than the sum of its proper divisors (6357565860).

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

3313013100 is a wasteful number, since it uses less digits than its factorization.

3313013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97859 (or 97852 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 3313013100 is about 57558.7795214596. The cubic root of 3313013100 is about 1490.7599534564.

Adding to 3313013100 its reverse (13103133), we get a palindrome (3326116233).

The spelling of 3313013100 in words is "three billion, three hundred thirteen million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2825 3390 5650 6780 8475 11300 16950 33900 97729 195458 293187 390916 488645 586374 977290 1172748 1465935 1954580 2443225 2931870 4886450 5863740 7329675 9772900 11043377 14659350 22086754 29318700 33130131 44173508 55216885 66260262 110433770 132520524 165650655 220867540 276084425 331301310 552168850 662602620 828253275 1104337700 1656506550 3313013100