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2211220122221 = 114720369209977
BaseRepresentation
bin100000001011010110111…
…111010110101001101101
321211101112201202210121202
4200023112333112221231
5242212034322402341
64411453121135245
7315520044630455
oct40132677265155
97741481683552
102211220122221
11782856126970
122b867118a525
1313069528c106
1479048b80d65
153c7bb4c279b
hex202d6fd6a6d

2211220122221 has 16 divisors (see below), whose sum is σ = 2463697071360. Its totient is φ = 1967323937280.

The previous prime is 2211220122211. The next prime is 2211220122313. The reversal of 2211220122221 is 1222210221122.

It is a cyclic number.

It is not a de Polignac number, because 2211220122221 - 222 = 2211215927917 is a prime.

It is a super-3 number, since 3×22112201222213 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2211220122193 and 2211220122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211220122211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10425785 + ... + 10635761.

It is an arithmetic number, because the mean of its divisors is an integer number (153981066960).

Almost surely, 22211220122221 is an apocalyptic number.

It is an amenable number.

2211220122221 is a deficient number, since it is larger than the sum of its proper divisors (252476949139).

2211220122221 is a wasteful number, since it uses less digits than its factorization.

2211220122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230404.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2211220122221 its reverse (1222210221122), we get a palindrome (3433430343343).

The spelling of 2211220122221 in words is "two trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 11 47 517 20369 209977 224059 957343 2309747 9868919 10530773 108558109 4277021513 47047236643 201020011111 2211220122221