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110212112010 = 235711133799191
BaseRepresentation
bin110011010100100100…
…1110101111010001010
3101112110212112101100110
41212221021311322022
53301203300041020
6122344124015150
710651105331550
oct1465111657212
9345425471313
10110212112010
1142816955aa0
12194399914b6
13a515435180
145497439bd0
152d00a458e0
hex19a9275e8a

110212112010 has 256 divisors, whose sum is σ = 364747235328. Its totient is φ = 20568038400.

The previous prime is 110212112009. The next prime is 110212112069. The reversal of 110212112010 is 10211212011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1061515 + ... + 1160705.

It is an arithmetic number, because the mean of its divisors is an integer number (1424793888).

Almost surely, 2110212112010 is an apocalyptic number.

110212112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110212112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182373617664).

110212112010 is an abundant number, since it is smaller than the sum of its proper divisors (254535123318).

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

110212112010 is a wasteful number, since it uses less digits than its factorization.

110212112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99269.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110212112010 its reverse (10211212011), we get a palindrome (120423324021).

It can be divided in two parts, 110212 and 112010, that added together give a palindrome (222222).

The spelling of 110212112010 in words is "one hundred ten billion, two hundred twelve million, one hundred twelve thousand, ten".