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112022012112100 = 225225136431225097
BaseRepresentation
bin11001011110001000101000…
…001111010010110011100100
3112200122012101122001210020021
4121132020220033102303210
5104140332040100041400
61034130111340444524
732411215614060556
oct3136105017226344
9480565348053207
10112022012112100
113276a2a547a662
1210692749249744
134a6782703881c
141d93c740054d6
15ce3e39e1271a
hex65e2283d2ce4

112022012112100 has 72 divisors (see below), whose sum is σ = 244123435912608. Its totient is φ = 44617996320000.

The previous prime is 112022012112071. The next prime is 112022012112103. The reversal of 112022012112100 is 1211210220211.

112022012112100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (112022012112103) 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, 90826752 + ... + 92051848.

It is an arithmetic number, because the mean of its divisors is an integer number (3390603276564).

Almost surely, 2112022012112100 is an apocalyptic number.

112022012112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112022012112100 is an abundant number, since it is smaller than the sum of its proper divisors (132101423800508).

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

112022012112100 is a wasteful number, since it uses less digits than its factorization.

112022012112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229005 (or 1228998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112022012112100 its reverse (1211210220211), we get a palindrome (113233222332311).

The spelling of 112022012112100 in words is "one hundred twelve trillion, twenty-two billion, twelve million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 251 502 1004 1255 2510 3643 5020 6275 7286 12550 14572 18215 25100 36430 72860 91075 182150 364300 914393 1225097 1828786 2450194 3657572 4571965 4900388 6125485 9143930 12250970 18287860 22859825 24501940 30627425 45719650 61254850 91439300 122509700 307499347 614998694 1229997388 1537496735 3074993470 4463028371 6149986940 7687483675 8926056742 15374967350 17852113484 22315141855 30749934700 44630283710 89260567420 111575709275 223151418550 446302837100 1120220121121 2240440242242 4480880484484 5601100605605 11202201211210 22404402422420 28005503028025 56011006056050 112022012112100