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2122210101221 = 72412574110317
BaseRepresentation
bin11110111000011101100…
…101000100011111100101
321111212210110201020101022
4132320131211010133211
5234232241241214341
64302532503340525
7306216226140200
oct36703545043745
97455713636338
102122210101221
1174902a304741
122a336ba51745
1312517b5a8a32
1474a03542937
153a30bee7e4b
hex1ee1d9447e5

2122210101221 has 24 divisors (see below), whose sum is σ = 2538746133336. Its totient is φ = 1767764705280.

The previous prime is 2122210101217. The next prime is 2122210101233. The reversal of 2122210101221 is 1221010122212.

It can be written as a sum of positive squares in 4 ways, for example, as 462725097121 + 1659485004100 = 680239^2 + 1288210^2 .

It is not a de Polignac number, because 2122210101221 - 22 = 2122210101217 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2122210101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122210101721) 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 23 ways as a sum of consecutive naturals, for example, 1538846 + ... + 2571471.

It is an arithmetic number, because the mean of its divisors is an integer number (105781088889).

Almost surely, 22122210101221 is an apocalyptic number.

It is an amenable number.

2122210101221 is a deficient number, since it is larger than the sum of its proper divisors (416536032115).

2122210101221 is a wasteful number, since it uses less digits than its factorization.

2122210101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110629 (or 4110622 counting only the distinct ones).

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

Adding to 2122210101221 its reverse (1221010122212), we get a palindrome (3343220223433).

The spelling of 2122210101221 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 7 41 49 257 287 1799 2009 10537 12593 73759 516313 4110317 28772219 168522997 201405533 1056351469 1179660979 7394460283 8257626853 43310410229 51761221981 303172871603 2122210101221