Search a number
-
+
112111122102120 = 23335177369828643
BaseRepresentation
bin11001011111011011100111…
…100110111011011101101000
3112200221201101212020022012000
4121133123213212323131220
5104143312034224231440
61034235045525051000
732420522055354051
oct3137334746733550
9480851355208160
10112111122102120
11327a4072772009
12106a7a77b56a60
134a7305865157b
141d982c8a27728
15ce6403087730
hex65f6e79bb768

112111122102120 has 256 divisors, whose sum is σ = 395740486944000. Its totient is φ = 28133841051648.

The previous prime is 112111122102107. The next prime is 112111122102179. The reversal of 112111122102120 is 21201221111211.

It is a happy number.

112111122102120 is a `hidden beast` number, since 1 + 121 + 111 + 221 + 0 + 212 + 0 = 666.

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 = 112111122102093 and 112111122102102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134880519 + ... + 135709161.

It is an arithmetic number, because the mean of its divisors is an integer number (1545861277125).

Almost surely, 2112111122102120 is an apocalyptic number.

112111122102120 is a gapful number since it is divisible by the number (10) 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 112111122102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197870243472000).

112111122102120 is an abundant number, since it is smaller than the sum of its proper divisors (283629364841880).

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

112111122102120 is a wasteful number, since it uses less digits than its factorization.

112111122102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836049 (or 836039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112111122102120 its reverse (21201221111211), we get a palindrome (133312343213331).

Subtracting from 112111122102120 its reverse (21201221111211), we obtain a palindrome (90909900990909).

The spelling of 112111122102120 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty".