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12233343100 = 22521112299049
BaseRepresentation
bin10110110010010101…
…00000000001111100
31011120120012012220111
423121022200001330
5200023213434400
65341522555404
7612103462216
oct133112400174
934516165814
1012233343100
115208448810
122454b08b64
1311cc5c4674
148409dd5b6
154b8eb43ba
hex2d92a007c

12233343100 has 72 divisors (see below), whose sum is σ = 28986426000. Its totient is φ = 4444377600.

The previous prime is 12233343071. The next prime is 12233343193. The reversal of 12233343100 is 134333221.

It is a super-2 number, since 2×122333431002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1347376 + ... + 1356424.

It is an arithmetic number, because the mean of its divisors is an integer number (402589250).

Almost surely, 212233343100 is an apocalyptic number.

12233343100 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 12233343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493213000).

12233343100 is an abundant number, since it is smaller than the sum of its proper divisors (16753082900).

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

12233343100 is a wasteful number, since it uses less digits than its factorization.

12233343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10303 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12233343100 its reverse (134333221), we get a palindrome (12367676321).

The spelling of 12233343100 in words is "twelve billion, two hundred thirty-three million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1229 2458 4916 6145 9049 12290 13519 18098 24580 27038 30725 36196 45245 54076 61450 67595 90490 99539 122900 135190 180980 199078 226225 270380 337975 398156 452450 497695 675950 904900 995390 1351900 1990780 2488475 4976950 9953900 11121221 22242442 44484884 55606105 111212210 122333431 222424420 244666862 278030525 489333724 556061050 611667155 1112122100 1223334310 2446668620 3058335775 6116671550 12233343100