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11340020200 = 2352433593673
BaseRepresentation
bin10101000111110101…
…01111100111101000
31002021022020201021011
422203322233213220
5141211021121300
65113131553304
7551005403245
oct124372574750
932238221234
1011340020200
11489a167023
1222458bb834
1310b94c8232
147981005cc
15465855eba
hex2a3eaf9e8

11340020200 has 96 divisors (see below), whose sum is σ = 27061214400. Its totient is φ = 4416975360.

The previous prime is 11340020189. The next prime is 11340020201. The reversal of 11340020200 is 202004311.

It is not an unprimeable number, because it can be changed into a prime (11340020201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3085564 + ... + 3089236.

It is an arithmetic number, because the mean of its divisors is an integer number (281887650).

Almost surely, 211340020200 is an apocalyptic number.

11340020200 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 11340020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530607200).

11340020200 is an abundant number, since it is smaller than the sum of its proper divisors (15721194200).

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

11340020200 is a wasteful number, since it uses less digits than its factorization.

11340020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 11340020200 its reverse (202004311), we get a palindrome (11542024511).

The spelling of 11340020200 in words is "eleven billion, three hundred forty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 359 430 718 860 1075 1436 1720 1795 2150 2872 3590 3673 4300 7180 7346 8600 8975 14360 14692 15437 17950 18365 29384 30874 35900 36730 61748 71800 73460 77185 91825 123496 146920 154370 157939 183650 308740 315878 367300 385925 617480 631756 734600 771850 789695 1263512 1318607 1543700 1579390 2637214 3087400 3158780 3948475 5274428 6317560 6593035 7896950 10548856 13186070 15793900 26372140 31587800 32965175 52744280 56700101 65930350 113400202 131860700 226800404 263721400 283500505 453600808 567001010 1134002020 1417502525 2268004040 2835005050 5670010100 11340020200