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112312011110220 = 223257352397116831
BaseRepresentation
bin11001100010010110101101…
…100001101011011101001100
3112201122220221011100021112100
4121202112231201223131030
5104210104444321011340
61034511231533435100
732441163222636315
oct3142265541533514
9481586834307470
10112312011110220
1132871290338149
121071a9a133ba90
134a88c91bb8c2c
141da3d04c0360c
15ceb75e5b6830
hex6625ad86b74c

112312011110220 has 288 divisors, whose sum is σ = 346383851433984. Its totient is φ = 29451002803200.

The previous prime is 112312011110219. The next prime is 112312011110227. The reversal of 112312011110220 is 22011110213211.

It is a happy number.

112312011110220 is a `hidden beast` number, since 1 + 1 + 231 + 201 + 1 + 1 + 10 + 220 = 666.

It is a super-2 number, since 2×1123120111102202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112312011110193 and 112312011110202.

It is not an unprimeable number, because it can be changed into a prime (112312011110227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6672917205 + ... + 6672934035.

It is an arithmetic number, because the mean of its divisors is an integer number (1202721706368).

Almost surely, 2112312011110220 is an apocalyptic number.

112312011110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112312011110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173191925716992).

112312011110220 is an abundant number, since it is smaller than the sum of its proper divisors (234071840323764).

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

112312011110220 is a wasteful number, since it uses less digits than its factorization.

112312011110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18413 (or 18408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112312011110220 its reverse (22011110213211), we get a palindrome (134323121323431).

The spelling of 112312011110220 in words is "one hundred twelve trillion, three hundred twelve billion, eleven million, one hundred ten thousand, two hundred twenty".