Search a number
-
+
222012010220121 = 321123248597392209
BaseRepresentation
bin110010011110101100110011…
…000000010100101001011001
31002010002010210201021210220200
4302132230303000110221121
5213044421044104020441
62104102524241212413
764522560402125502
oct6236546300245131
91063063721253820
10222012010220121
1164815845a23320
1220a974b9031109
1396b58481095b4
143cb761d84dba9
151aa00964e17b6
hexc9eb33014a59

222012010220121 has 48 divisors (see below), whose sum is σ = 365049815195520. Its totient is φ = 128701768757760.

The previous prime is 222012010220093. The next prime is 222012010220129. The reversal of 222012010220121 is 121022010210222.

It is a happy number.

222012010220121 is a `hidden beast` number, since 2 + 220 + 1 + 201 + 0 + 220 + 1 + 21 = 666.

It is not a de Polignac number, because 222012010220121 - 211 = 222012010218073 is a prime.

It is a super-2 number, since 2×2220120102201212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222012010220094 and 222012010220103.

It is not an unprimeable number, because it can be changed into a prime (222012010220129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565859265 + ... + 566251473.

It is an arithmetic number, because the mean of its divisors is an integer number (7605204483240).

Almost surely, 2222012010220121 is an apocalyptic number.

It is an amenable number.

222012010220121 is a deficient number, since it is larger than the sum of its proper divisors (143037804975399).

222012010220121 is a wasteful number, since it uses less digits than its factorization.

222012010220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640846 (or 640843 counting only the distinct ones).

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

Adding to 222012010220121 its reverse (121022010210222), we get a palindrome (343034020430343).

The spelling of 222012010220121 in words is "two hundred twenty-two trillion, twelve billion, ten million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 248597 392209 745791 1176627 2237373 2734567 3529881 4314299 5717731 8203701 9020807 12942897 17153193 24611103 27062421 38828691 51459579 62895041 81187263 99228877 188685123 297686631 566055369 893059893 97501980773 292505942319 877517826957 1072521788503 2242545557779 3217565365509 6727636673337 9652696096527 20182910020011 24668001135569 74004003406707 222012010220121