Search a number
-
+
112022100022212 = 22323111725000617
BaseRepresentation
bin11001011110001000101101…
…011110101001001111000100
3112200122012121202111002020100
4121132020231132221033010
5104140332230101202322
61034130124201004100
732411221032230352
oct3136105536511704
9480565552432210
10112022100022212
113276a340063846
1210692772783630
134a6783c308443
141d93c8196a7d2
15ce3e429c9dac
hex65e22d7a93c4

112022100022212 has 18 divisors (see below), whose sum is σ = 283166975056238. Its totient is φ = 37340700007392.

The previous prime is 112022100022201. The next prime is 112022100022243. The reversal of 112022100022212 is 212220001220211.

It is a happy number.

112022100022212 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 only one way, i.e., 87328912860036 + 24693187162176 = 9344994^2 + 4969224^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1555862500273 + ... + 1555862500344.

Almost surely, 2112022100022212 is an apocalyptic number.

112022100022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112022100022212 is an abundant number, since it is smaller than the sum of its proper divisors (171144875034026).

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

112022100022212 is a wasteful number, since it uses less digits than its factorization.

112022100022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111725000627 (or 3111725000622 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112022100022212 its reverse (212220001220211), we get a palindrome (324242101242423).

The spelling of 112022100022212 in words is "one hundred twelve trillion, twenty-two billion, one hundred million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3111725000617 6223450001234 9335175001851 12446900002468 18670350003702 28005525005553 37340700007404 56011050011106 112022100022212