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112011011112 = 2337111325367101
BaseRepresentation
bin110100001010001100…
…0000110010000101000
3101201010020110221000010
41220110120012100220
53313344304323422
6123242424411520
711043510612420
oct1502430062050
9351106427003
10112011011112
114355a328570
1219860316ba0
13a74102b100
1455c8307480
152da8932b0c
hex1a14606428

112011011112 has 768 divisors, whose sum is σ = 394799339520. Its totient is φ = 25698816000.

The previous prime is 112011011107. The next prime is 112011011117. The reversal of 112011011112 is 211110110211.

It is an interprime number because it is at equal distance from previous prime (112011011107) and next prime (112011011117).

It is a super-2 number, since 2×1120110111122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (112011011117) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1109019862 + ... + 1109019962.

It is an arithmetic number, because the mean of its divisors is an integer number (514061640).

Almost surely, 2112011011112 is an apocalyptic number.

112011011112 is a gapful number since it is divisible by the number (12) 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 112011011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197399669760).

112011011112 is an abundant number, since it is smaller than the sum of its proper divisors (282788328408).

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

112011011112 is a wasteful number, since it uses less digits than its factorization.

112011011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112011011112 its reverse (211110110211), we get a palindrome (323121121323).

Subtracting 112011011112 from its reverse (211110110211), we obtain a palindrome (99099099099).

The spelling of 112011011112 in words is "one hundred twelve billion, eleven million, eleven thousand, one hundred twelve".