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220112221121 = 13171496684449
BaseRepresentation
bin1100110011111110110…
…1011111001111000001
3210001010222222101011222
43030333231133033001
512101242212033441
6245041304444425
721621405003122
oct3147755371701
9701128871158
10220112221121
1185392679651
12367ab179715
13179ab029130
14a92125a049
155ad3eaad4b
hex333fb5f3c1

220112221121 has 16 divisors (see below), whose sum is σ = 252672210000. Its totient is φ = 189945274368.

The previous prime is 220112221097. The next prime is 220112221129. The reversal of 220112221121 is 121122211022.

It can be written as a sum of positive squares in 8 ways, for example, as 305026225 + 219807194896 = 17465^2 + 468836^2 .

It is a cyclic number.

It is not a de Polignac number, because 220112221121 - 26 = 220112221057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220112221121.

It is not an unprimeable number, because it can be changed into a prime (220112221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3309296 + ... + 3375153.

It is an arithmetic number, because the mean of its divisors is an integer number (15792013125).

Almost surely, 2220112221121 is an apocalyptic number.

It is an amenable number.

220112221121 is a deficient number, since it is larger than the sum of its proper divisors (32559988879).

220112221121 is a wasteful number, since it uses less digits than its factorization.

220112221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684628.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220112221121 its reverse (121122211022), we get a palindrome (341234432143).

The spelling of 220112221121 in words is "two hundred twenty billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 13 17 149 221 1937 2533 32929 6684449 86897837 113635633 995982901 1477263229 12947777713 16931709317 220112221121