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112442400400 = 24521125555091
BaseRepresentation
bin110100010111000010…
…1101101111010010000
3101202020022012202212011
41220232011231322100
53320240223303100
6123353314512304
711060266430221
oct1505605557220
9352208182764
10112442400400
1143760892740
1219960895694
13a7ac50cb45
14562971d248
152dd1746bba
hex1a2e16de90

112442400400 has 60 divisors (see below), whose sum is σ = 294701320944. Its totient is φ = 40888144000.

The previous prime is 112442400377. The next prime is 112442400401. The reversal of 112442400400 is 4004244211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (112442400401) 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, 12773146 + ... + 12781945.

Almost surely, 2112442400400 is an apocalyptic number.

112442400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112442400400 is an abundant number, since it is smaller than the sum of its proper divisors (182258920544).

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

112442400400 is a wasteful number, since it uses less digits than its factorization.

112442400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25555120 (or 25555109 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 112442400400 its reverse (4004244211), we get a palindrome (116446644611).

The spelling of 112442400400 in words is "one hundred twelve billion, four hundred forty-two million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 25555091 51110182 102220364 127775455 204440728 255550910 281106001 408881456 511101820 562212002 638877275 1022203640 1124424004 1277754550 1405530005 2044407280 2248848008 2555509100 2811060010 4497696016 5111018200 5622120020 7027650025 10222036400 11244240040 14055300050 22488480080 28110600100 56221200200 112442400400