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11343034100 = 22521722929137
BaseRepresentation
bin10101001000001100…
…01111011011110100
31002021111220211120002
422210012033123310
5141212304042400
65113320330432
7551043125156
oct124406173364
932244824502
1011343034100
1148a0935452
122246913a18
1310ba011cc8
14798686ad6
15465c4ded5
hex2a418f6f4

11343034100 has 72 divisors (see below), whose sum is σ = 26176996440. Its totient is φ = 4251525120.

The previous prime is 11343034061. The next prime is 11343034133. The reversal of 11343034100 is 143034311.

11343034100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 176039824 + 11166994276 = 13268^2 + 105674^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374732 + ... + 403868.

It is an arithmetic number, because the mean of its divisors is an integer number (363569395).

Almost surely, 211343034100 is an apocalyptic number.

11343034100 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 11343034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13088498220).

11343034100 is an abundant number, since it is smaller than the sum of its proper divisors (14833962340).

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

11343034100 is a wasteful number, since it uses less digits than its factorization.

11343034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29397 (or 29390 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11343034100 its reverse (143034311), we get a palindrome (11486068411).

The spelling of 11343034100 in words is "eleven billion, three hundred forty-three million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 229 340 425 458 850 916 1145 1700 2290 3893 4580 5725 7786 11450 15572 19465 22900 29137 38930 58274 77860 97325 116548 145685 194650 291370 389300 495329 582740 728425 990658 1456850 1981316 2476645 2913700 4953290 6672373 9906580 12383225 13344746 24766450 26689492 33361865 49532900 66723730 113430341 133447460 166809325 226860682 333618650 453721364 567151705 667237300 1134303410 2268606820 2835758525 5671517050 11343034100