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112232213130 = 23517220063163
BaseRepresentation
bin110100010000110001…
…1111010101010001010
3101201200122201011010110
41220201203322222022
53314322421310010
6123320405455150
711052135033312
oct1504143725212
9351618634113
10112232213130
1143663181954
12199024114b6
13a777ac998b
145609848442
152dbd079120
hex1a218faa8a

112232213130 has 32 divisors (see below), whose sum is σ = 285201860544. Its totient is φ = 28168084736.

The previous prime is 112232213099. The next prime is 112232213161. The reversal of 112232213130 is 31312232211.

It is an interprime number because it is at equal distance from previous prime (112232213099) and next prime (112232213161).

It is a super-3 number, since 3×1122322131303 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112232213097 and 112232213106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110031072 + ... + 110032091.

It is an arithmetic number, because the mean of its divisors is an integer number (8912558142).

Almost surely, 2112232213130 is an apocalyptic number.

112232213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112232213130 is an abundant number, since it is smaller than the sum of its proper divisors (172969647414).

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

112232213130 is a wasteful number, since it uses less digits than its factorization.

112232213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220063190.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 112232213130 its reverse (31312232211), we get a palindrome (143544445341).

The spelling of 112232213130 in words is "one hundred twelve billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 220063163 440126326 660189489 1100315815 1320378978 2200631630 3300947445 3741073771 6601894890 7482147542 11223221313 18705368855 22446442626 37410737710 56116106565 112232213130