Search a number
-
+
220112210111121 = 3224456912234569
BaseRepresentation
bin110010000011000011011110…
…000110000010101010010001
31001212100112002101012211002200
4302003003132012002222101
5212322304301242023441
62100050053043433413
764235403521500506
oct6203033606025221
91055315071184080
10220112210111121
1164153078326709
122082b279985869
1395a8652901473
143c4d6b87b54ad
151a6a9550857b6
hexc830de182a91

220112210111121 has 6 divisors (see below), whose sum is σ = 317939859049410. Its totient is φ = 146741473407408.

The previous prime is 220112210111119. The next prime is 220112210111179. The reversal of 220112210111121 is 121111012211022.

It is a happy number.

220112210111121 is a `hidden beast` number, since 220 + 1 + 1 + 2 + 210 + 111 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116342110440000 + 103770099671121 = 10786200^2 + 10186761^2 .

It is not a de Polignac number, because 220112210111121 - 21 = 220112210111119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220112210111094 and 220112210111103.

It is not an unprimeable number, because it can be changed into a prime (220112210118121) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 12228456117276 + ... + 12228456117293.

It is an arithmetic number, because the mean of its divisors is an integer number (52989976508235).

Almost surely, 2220112210111121 is an apocalyptic number.

It is an amenable number.

220112210111121 is a deficient number, since it is larger than the sum of its proper divisors (97827648938289).

220112210111121 is a wasteful number, since it uses less digits than its factorization.

220112210111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24456912234575 (or 24456912234572 counting only the distinct ones).

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

Adding to 220112210111121 its reverse (121111012211022), we get a palindrome (341223222322143).

The spelling of 220112210111121 in words is "two hundred twenty trillion, one hundred twelve billion, two hundred ten million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 24456912234569 73370736703707 220112210111121