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3113011200 = 211352131559
BaseRepresentation
bin1011100110001100…
…1100100000000000
322000221200100120010
42321203030200000
522333412324300
61232522344520
7140100105255
oct27143144000
98027610503
103113011200
111358239432
1272a65b140
133a7c32380
1421762342c
15133468a50
hexb98cc800

3113011200 has 288 divisors, whose sum is σ = 11089915200. Its totient is φ = 765788160.

The previous prime is 3113011163. The next prime is 3113011303. The reversal of 3113011200 is 21103113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996021 + ... + 1997579.

It is an arithmetic number, because the mean of its divisors is an integer number (38506650).

Almost surely, 23113011200 is an apocalyptic number.

3113011200 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 3113011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544957600).

3113011200 is an abundant number, since it is smaller than the sum of its proper divisors (7976904000).

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

3113011200 is a wasteful number, since it uses less digits than its factorization.

3113011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3113011200 is about 55794.3653069017. The cubic root of 3113011200 is about 1460.1368483723.

Adding to 3113011200 its reverse (21103113), we get a palindrome (3134114313).

The spelling of 3113011200 in words is "three billion, one hundred thirteen million, eleven thousand, two hundred".