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11311333300 = 22522310945119
BaseRepresentation
bin10101000100011010…
…10011111110110100
31002012022021021020101
422202031103332310
5141131200131200
65110225043444
7550206514051
oct124215237664
932168237211
1011311333300
114884a53143
122238186584
1310b3592b37
14794394028
1546308b26a
hex2a2353fb4

11311333300 has 72 divisors (see below), whose sum is σ = 25848345600. Its totient is φ = 4288014720.

The previous prime is 11311333237. The next prime is 11311333343. The reversal of 11311333300 is 333311311.

It is a happy number.

It is a super-2 number, since 2×113113333002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 228141 + ... + 273259.

It is an arithmetic number, because the mean of its divisors is an integer number (359004800).

Almost surely, 211311333300 is an apocalyptic number.

11311333300 is a gapful number since it is divisible by the number (10) 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 11311333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924172800).

11311333300 is an abundant number, since it is smaller than the sum of its proper divisors (14537012300).

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

11311333300 is a wasteful number, since it uses less digits than its factorization.

11311333300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45265 (or 45258 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 11311333300 its reverse (333311311), we get a palindrome (11644644611).

The spelling of 11311333300 in words is "eleven billion, three hundred eleven million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 109 115 218 230 436 460 545 575 1090 1150 2180 2300 2507 2725 5014 5450 10028 10900 12535 25070 45119 50140 62675 90238 125350 180476 225595 250700 451190 902380 1037737 1127975 2075474 2255950 4150948 4511900 4917971 5188685 9835942 10377370 19671884 20754740 24589855 25943425 49179710 51886850 98359420 103773700 113113333 122949275 226226666 245898550 452453332 491797100 565566665 1131133330 2262266660 2827833325 5655666650 11311333300