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112002123220 = 225132943345451
BaseRepresentation
bin110100001001111011…
…0001100010111010100
3101201002121202101002221
41220103312030113110
53313340020420340
6123241510112124
711043342224251
oct1502366142724
9351077671087
10112002123220
11435553079a9
121985934b644
13a73c2387c0
1455c7072428
152da7c7944a
hex1a13d8c5d4

112002123220 has 96 divisors (see below), whose sum is σ = 268126024320. Its totient is φ = 38999923200.

The previous prime is 112002123209. The next prime is 112002123221. The reversal of 112002123220 is 22321200211.

It is a happy number.

112002123220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112002123194 and 112002123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002123221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151495 + ... + 496945.

It is an arithmetic number, because the mean of its divisors is an integer number (2792979420).

Almost surely, 2112002123220 is an apocalyptic number.

112002123220 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 112002123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134063012160).

112002123220 is an abundant number, since it is smaller than the sum of its proper divisors (156123901100).

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

112002123220 is a wasteful number, since it uses less digits than its factorization.

112002123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345545 (or 345543 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 112002123220 its reverse (22321200211), we get a palindrome (134323323431).

The spelling of 112002123220 in words is "one hundred twelve billion, two million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 43 52 58 65 86 116 130 145 172 215 260 290 377 430 559 580 754 860 1118 1247 1508 1885 2236 2494 2795 3770 4988 5590 6235 7540 11180 12470 16211 24940 32422 64844 81055 162110 324220 345451 690902 1381804 1727255 3454510 4490863 6909020 8981726 10018079 14854393 17963452 20036158 22454315 29708786 40072316 44908630 50090395 59417572 74271965 89817260 100180790 130235027 148543930 193107109 200361580 260470054 297087860 386214218 430777397 520940108 651175135 772428436 861554794 965535545 1302350270 1723109588 1931071090 2153886985 2604700540 3862142180 4307773970 5600106161 8615547940 11200212322 22400424644 28000530805 56001061610 112002123220