Search a number
-
+
112000221101010 = 235112937401788789
BaseRepresentation
bin11001011101110100010101…
…011001001011101111010010
3112200120010010222102201122110
4121131310111121023233102
5104140002423100213020
61034112105151450150
732406514613405154
oct3135642531135722
9480503128381573
10112000221101010
1132761032a76490
121068a487526956
134a6576359a418
141d92ba7d06ad4
15ce35b1d168e0
hex65dd1564bbd2

112000221101010 has 256 divisors, whose sum is σ = 312324492556800. Its totient is φ = 25443145728000.

The previous prime is 112000221100931. The next prime is 112000221101107. The reversal of 112000221101010 is 10101122000211.

112000221101010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141595696 + ... + 142384484.

It is an arithmetic number, because the mean of its divisors is an integer number (1220017549050).

Almost surely, 2112000221101010 is an apocalyptic number.

112000221101010 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 112000221101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156162246278400).

112000221101010 is an abundant number, since it is smaller than the sum of its proper divisors (200324271455790).

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

112000221101010 is a wasteful number, since it uses less digits than its factorization.

112000221101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789277.

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

Adding to 112000221101010 its reverse (10101122000211), we get a palindrome (122101343101221).

The spelling of 112000221101010 in words is "one hundred twelve trillion, two hundred twenty-one million, one hundred one thousand, ten".