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11334423200 = 255217979151
BaseRepresentation
bin10101000111001010…
…11001001010100000
31002020220201100121212
422203211121022200
5141203103020300
65112412005252
7550610002412
oct124345311240
932226640555
1011334423200
114896a93a01
122243a60828
1310b82b87b9
147974849b2
154650ec935
hex2a39592a0

11334423200 has 72 divisors (see below), whose sum is σ = 27825094080. Its totient is φ = 4508384000.

The previous prime is 11334423193. The next prime is 11334423259. The reversal of 11334423200 is 232443311.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103625 + ... + 182775.

It is an arithmetic number, because the mean of its divisors is an integer number (386459640).

Almost surely, 211334423200 is an apocalyptic number.

11334423200 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 11334423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912547040).

11334423200 is an abundant number, since it is smaller than the sum of its proper divisors (16490670880).

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

11334423200 is a wasteful number, since it uses less digits than its factorization.

11334423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79350 (or 79337 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 11334423200 its reverse (232443311), we get a palindrome (11566866511).

The spelling of 11334423200 in words is "eleven billion, three hundred thirty-four million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 179 200 358 400 716 800 895 1432 1790 2864 3580 4475 5728 7160 8950 14320 17900 28640 35800 71600 79151 143200 158302 316604 395755 633208 791510 1266416 1583020 1978775 2532832 3166040 3957550 6332080 7915100 12664160 14168029 15830200 28336058 31660400 56672116 63320800 70840145 113344232 141680290 226688464 283360580 354200725 453376928 566721160 708401450 1133442320 1416802900 2266884640 2833605800 5667211600 11334423200