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112210222002100 = 22526118395118361
BaseRepresentation
bin11001100000110111111010…
…011011000010111110110100
3112201022012012022011211022221
4121200313322123002332310
5104201423013313031400
61034352355255532124
732430630622536205
oct3140677233027664
9481265168154287
10112210222002100
11328320a70076a2
121070311438a044
134a7c4bc830c41
141d9d00a3035ac
15ce8ca3275c1a
hex660dfa6c2fb4

112210222002100 has 36 divisors (see below), whose sum is σ = 247487922442348. Its totient is φ = 44148284064000.

The previous prime is 112210222002077. The next prime is 112210222002107. The reversal of 112210222002100 is 1200222012211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3539229488656 + 108670992513444 = 1881284^2 + 10424538^2 .

It is a super-2 number, since 2×1122102220021002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112210222002107) 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, 9197553081 + ... + 9197565280.

Almost surely, 2112210222002100 is an apocalyptic number.

112210222002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112210222002100 is an abundant number, since it is smaller than the sum of its proper divisors (135277700440248).

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

112210222002100 is a wasteful number, since it uses less digits than its factorization.

112210222002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18395118436 (or 18395118429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112210222002100 its reverse (1200222012211), we get a palindrome (113410444014311).

The spelling of 112210222002100 in words is "one hundred twelve trillion, two hundred ten billion, two hundred twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 18395118361 36790236722 73580473444 91975591805 183951183610 367902367220 459877959025 919755918050 1122102220021 1839511836100 2244204440042 4488408880084 5610511100105 11221022200210 22442044400420 28052555500525 56105111001050 112210222002100