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112132113102020 = 225111773340902931
BaseRepresentation
bin11001011111101111001010…
…110001001111010011000100
3112201000201120202111120201202
4121133233022301033103010
5104144133031423231040
61034252440455042032
732422164203045354
oct3137571261172304
9481021522446652
10112132113102020
1132801a64627a10
12106abb55970318
134a7502243497b
141d9931a796b64
15ce6c30d08015
hex65fbcac4f4c4

112132113102020 has 96 divisors (see below), whose sum is σ = 272366406942336. Its totient is φ = 38324409292800.

The previous prime is 112132113101977. The next prime is 112132113102049. The reversal of 112132113102020 is 20201311231211.

112132113102020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1121321131020202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112132113101983 and 112132113102001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17710046 + ... + 23192885.

It is an arithmetic number, because the mean of its divisors is an integer number (2837150072316).

Almost surely, 2112132113102020 is an apocalyptic number.

112132113102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112132113102020 is an abundant number, since it is smaller than the sum of its proper divisors (160234293840316).

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

112132113102020 is a wasteful number, since it uses less digits than its factorization.

112132113102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40903701 (or 40903699 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 112132113102020 its reverse (20201311231211), we get a palindrome (132333424333231).

The spelling of 112132113102020 in words is "one hundred twelve trillion, one hundred thirty-two billion, one hundred thirteen million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 733 748 935 1466 1870 2932 3665 3740 7330 8063 12461 14660 16126 24922 32252 40315 49844 62305 80630 124610 137071 161260 249220 274142 548284 685355 1370710 2741420 40902931 81805862 163611724 204514655 409029310 449932241 695349827 818058620 899864482 1390699654 1799728964 2249661205 2781399308 3476749135 4499322410 6953498270 7648848097 8998644820 13906996540 15297696194 29981848423 30595392388 38244240485 59963696846 76488480970 119927393692 149909242115 152976961940 299818484230 329800332653 509691423191 599636968460 659600665306 1019382846382 1319201330612 1649001663265 2038765692764 2548457115955 3298003326530 5096914231910 5606605655101 6596006653060 10193828463820 11213211310202 22426422620404 28033028275505 56066056551010 112132113102020