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2211210022221 = 323755313120049
BaseRepresentation
bin100000001011010110011…
…000110100110101001101
321211101112000202200000200
4200023112120310311031
5242212024231202341
64411452120444113
7315516563033424
oct40132630646515
97741460680020
102211210022221
11782850458662
122b8669919639
13130693163b95
14790476b22bb
153c7ba679db6
hex202d6634d4d

2211210022221 has 24 divisors (see below), whose sum is σ = 3280380175800. Its totient is φ = 1434260514816.

The previous prime is 2211210022127. The next prime is 2211210022261. The reversal of 2211210022221 is 1222200121122.

It is a happy number.

2211210022221 is a `hidden beast` number, since 2 + 211 + 210 + 0 + 22 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1885156460100 + 326053562121 = 1373010^2 + 571011^2 .

It is not a de Polignac number, because 2211210022221 - 227 = 2211075804493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2211210022194 and 2211210022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211210022261) 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 23 ways as a sum of consecutive naturals, for example, 18359205 + ... + 18479253.

It is an arithmetic number, because the mean of its divisors is an integer number (136682507325).

Almost surely, 22211210022221 is an apocalyptic number.

It is an amenable number.

2211210022221 is a deficient number, since it is larger than the sum of its proper divisors (1069170153579).

2211210022221 is a wasteful number, since it uses less digits than its factorization.

2211210022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175405 (or 175402 counting only the distinct ones).

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

Adding to 2211210022221 its reverse (1222200121122), we get a palindrome (3433410143343).

The spelling of 2211210022221 in words is "two trillion, two hundred eleven billion, two hundred ten million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 55313 120049 165939 360147 497817 1080441 2046581 4441813 6139743 13325439 18419229 39976317 6640270337 19920811011 59762433033 245690002469 737070007407 2211210022221