Search a number
-
+
112000122112 = 283371298221
BaseRepresentation
bin110100001001110111…
…0100011110100000000
3101201002110222201002211
41220103232203310000
53313334012401422
6123241355151504
711043316221154
oct1502356436400
9351073881084
10112000122112
114355417049a
1219858745594
13a73b9b7a08
1455c6ab1064
152da79d1577
hex1a13ba3d00

112000122112 has 36 divisors (see below), whose sum is σ = 224226307396. Its totient is φ = 55833845760.

The previous prime is 112000122067. The next prime is 112000122193. The reversal of 112000122112 is 211221000211.

112000122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 82520605696 + 29479516416 = 287264^2 + 171696^2 .

It is a super-2 number, since 2×1120001221122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112000122092 and 112000122101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 562839 + ... + 735382.

Almost surely, 2112000122112 is an apocalyptic number.

It is an amenable number.

112000122112 is an abundant number, since it is smaller than the sum of its proper divisors (112226185284).

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

112000122112 is an equidigital number, since it uses as much as digits as its factorization.

112000122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298574 (or 1298560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112000122112 its reverse (211221000211), we get a palindrome (323221122323).

The spelling of 112000122112 in words is "one hundred twelve billion, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 337 674 1348 2696 5392 10784 21568 43136 86272 1298221 2596442 5192884 10385768 20771536 41543072 83086144 166172288 332344576 437500477 875000954 1750001908 3500003816 7000007632 14000015264 28000030528 56000061056 112000122112