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112102222122 = 2321115116323003
BaseRepresentation
bin110100001100111010…
…0000010100100101010
3101201100121002220222200
41220121310002210222
53314041132101442
6123255443401030
711045666110632
oct1503164024452
9351317086880
10112102222122
11435a6866770
1219886983176
13a756bb5317
1455d648b6c2
152db194d34c
hex1a19d0292a

112102222122 has 96 divisors (see below), whose sum is σ = 268371657216. Its totient is φ = 33536916000.

The previous prime is 112102222121. The next prime is 112102222129. The reversal of 112102222122 is 221222201211.

It is a happy number.

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 = 112102222095 and 112102222104.

It is not an unprimeable number, because it can be changed into a prime (112102222121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4861873 + ... + 4884875.

It is an arithmetic number, because the mean of its divisors is an integer number (2795538096).

Almost surely, 2112102222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134185828608).

112102222122 is an abundant number, since it is smaller than the sum of its proper divisors (156269435094).

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

112102222122 is a wasteful number, since it uses less digits than its factorization.

112102222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23336 (or 23333 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112102222122 its reverse (221222201211), we get a palindrome (333324423333).

The spelling of 112102222122 in words is "one hundred twelve billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 163 198 302 326 453 489 906 978 1359 1467 1661 1793 2718 2934 3322 3586 4983 5379 9966 10758 14949 16137 23003 24613 29898 32274 46006 49226 69009 73839 138018 147678 207027 221517 253033 270743 414054 443034 506066 541486 759099 812229 1518198 1624458 2277297 2436687 3473453 3749489 4554594 4873374 6946906 7498978 10420359 11248467 20840718 22496934 31261077 33745401 38207983 41244379 62522154 67490802 76415966 82488758 114623949 123733137 229247898 247466274 343871847 371199411 566172839 687743694 742398822 1132345678 1698518517 3397037034 5095555551 6227901229 10191111102 12455802458 18683703687 37367407374 56051111061 112102222122