Search a number
-
+
202112222121 = 3273653471101
BaseRepresentation
bin1011110000111011010…
…0111100001110101001
3201022200112210200112100
42330032310330032221
511302411212101441
6232503222204013
720413346353665
oct2741664741651
9638615720470
10202112222121
1178796097a17
1233206b83609
131609cac9154
149ad482d8a5
1553cdb02cb6
hex2f0ed3c3a9

202112222121 has 24 divisors (see below), whose sum is σ = 296392881096. Its totient is φ = 132691910400.

The previous prime is 202112222111. The next prime is 202112222287. The reversal of 202112222121 is 121222211202.

It is a happy number.

202112222121 is a `hidden beast` number, since 20 + 211 + 222 + 212 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39752384400 + 162359837721 = 199380^2 + 402939^2 .

It is not a de Polignac number, because 202112222121 - 210 = 202112221097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202112222094 and 202112222103.

It is not an unprimeable number, because it can be changed into a prime (202112222111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193471 + ... + 664571.

It is an arithmetic number, because the mean of its divisors is an integer number (12349703379).

Almost surely, 2202112222121 is an apocalyptic number.

It is an amenable number.

202112222121 is a deficient number, since it is larger than the sum of its proper divisors (94280658975).

202112222121 is a wasteful number, since it uses less digits than its factorization.

202112222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471833 (or 471830 counting only the distinct ones).

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

Adding to 202112222121 its reverse (121222211202), we get a palindrome (323334433323).

The spelling of 202112222121 in words is "two hundred two billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 73 219 653 657 1959 5877 47669 143007 429021 471101 1413303 4239909 34390373 103171119 307628953 309513357 922886859 2768660577 22456913569 67370740707 202112222121