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112111332100 = 225243110872393
BaseRepresentation
bin110100001101001011…
…0110010101100000100
3101201101020020202112021
41220122112302230010
53314101000111400
6123300410532524
711046136412425
oct1503226625404
9351336222467
10112111332100
1143600a19179
1219889a37144
13a758a54a41
1455d777d64c
152db264c71a
hex1a1a5b2b04

112111332100 has 72 divisors (see below), whose sum is σ = 244172371968. Its totient is φ = 44680646400.

The previous prime is 112111332049. The next prime is 112111332107. The reversal of 112111332100 is 1233111211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112111332107) 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, 46848504 + ... + 46850896.

It is an arithmetic number, because the mean of its divisors is an integer number (3391282944).

Almost surely, 2112111332100 is an apocalyptic number.

112111332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112111332100 is an abundant number, since it is smaller than the sum of its proper divisors (132061039868).

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

112111332100 is a wasteful number, since it uses less digits than its factorization.

112111332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 112111332100 its reverse (1233111211), we get a palindrome (113344443311).

The spelling of 112111332100 in words is "one hundred twelve billion, one hundred eleven million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 431 862 1087 1724 2155 2174 2393 4310 4348 4786 5435 8620 9572 10775 10870 11965 21550 21740 23930 27175 43100 47860 54350 59825 108700 119650 239300 468497 936994 1031383 1873988 2062766 2342485 2601191 4125532 4684970 5156915 5202382 9369940 10313830 10404764 11712425 13005955 20627660 23424850 25784575 26011910 46849700 51569150 52023820 65029775 103138300 130059550 260119100 1121113321 2242226642 4484453284 5605566605 11211133210 22422266420 28027833025 56055666050 112111332100