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3113311300 = 22521173137283
BaseRepresentation
bin1011100110010001…
…0101110001000100
322000222020121012221
42321210111301010
522334001430200
61232533022124
7140102465221
oct27144256104
98028217187
103113311300
111358423950
1272a784944
133a8008b48
142176a0948
151334c791a
hexb9915c44

3113311300 has 144 divisors (see below), whose sum is σ = 7552141632. Its totient is φ = 1104537600.

The previous prime is 3113311277. The next prime is 3113311309. The reversal of 3113311300 is 31133113.

It is not an unprimeable number, because it can be changed into a prime (3113311309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11000959 + ... + 11001241.

It is an arithmetic number, because the mean of its divisors is an integer number (52445428).

Almost surely, 23113311300 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 3113311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776070816).

3113311300 is an abundant number, since it is smaller than the sum of its proper divisors (4438830332).

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

3113311300 is a wasteful number, since it uses less digits than its factorization.

3113311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 3113311300 is about 55797.0545817609. The cubic root of 3113311300 is about 1460.1837668231.

Adding to 3113311300 its reverse (31133113), we get a palindrome (3144444413).

3113311300 divided by its reverse (31133113) gives a square (100 = 102).

It can be divided in two parts, 3113 and 311300, that multiplied together give a square (969076900 = 311302).

The spelling of 3113311300 in words is "three billion, one hundred thirteen million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 137 146 220 274 275 283 292 365 548 550 566 685 730 803 1100 1132 1370 1415 1460 1507 1606 1825 2740 2830 3014 3113 3212 3425 3650 4015 5660 6028 6226 6850 7075 7300 7535 8030 10001 12452 13700 14150 15070 15565 16060 20002 20075 20659 28300 30140 31130 37675 38771 40004 40150 41318 50005 62260 75350 77542 77825 80300 82636 100010 103295 110011 150700 155084 155650 193855 200020 206590 220022 227249 250025 311300 387710 413180 426481 440044 454498 500050 516475 550055 775420 852962 908996 969275 1000100 1032950 1100110 1136245 1705924 1938550 2065900 2132405 2200220 2272490 2750275 2830283 3877100 4264810 4544980 5500550 5660566 5681225 8529620 10662025 11001100 11321132 11362450 14151415 21324050 22724900 28302830 31133113 42648100 56605660 62266226 70757075 124532452 141514150 155665565 283028300 311331130 622662260 778327825 1556655650 3113311300