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11121311200 = 255259235621
BaseRepresentation
bin10100101101110000…
…11011110111100000
31001201001201010220211
422112320123313200
5140234023424300
65035320143504
7542411404546
oct122670336740
931631633824
1011121311200
11479776578a
1221a4607b94
1310830c031c
1477704bd96
154515534ba
hex296e1bde0

11121311200 has 72 divisors (see below), whose sum is σ = 27610185960. Its totient is φ = 4373107200.

The previous prime is 11121311177. The next prime is 11121311203. The reversal of 11121311200 is 211312111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121311203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70611 + ... + 165010.

It is an arithmetic number, because the mean of its divisors is an integer number (383474805).

Almost surely, 211121311200 is an apocalyptic number.

11121311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121311200 is an abundant number, since it is smaller than the sum of its proper divisors (16488874760).

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

11121311200 is a wasteful number, since it uses less digits than its factorization.

11121311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235700 (or 235687 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11121311200 its reverse (211312111), we get a palindrome (11332623311).

The spelling of 11121311200 in words is "eleven billion, one hundred twenty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 160 200 236 295 400 472 590 800 944 1180 1475 1888 2360 2950 4720 5900 9440 11800 23600 47200 235621 471242 942484 1178105 1884968 2356210 3769936 4712420 5890525 7539872 9424840 11781050 13901639 18849680 23562100 27803278 37699360 47124200 55606556 69508195 94248400 111213112 139016390 188496800 222426224 278032780 347540975 444852448 556065560 695081950 1112131120 1390163900 2224262240 2780327800 5560655600 11121311200