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21223122201 = 3317213072081
BaseRepresentation
bin10011110000111111…
…110010010100011001
32000210002001022111000
4103300333302110121
5321431104402301
613425541055213
71350633363561
oct236077622431
960702038430
1021223122201
119000998916
1241436b7509
132002c06698
141054913da1
15843322786
hex4f0ff2519

21223122201 has 48 divisors (see below), whose sum is σ = 33441583680. Its totient is φ = 13299886080.

The previous prime is 21223122191. The next prime is 21223122209. The reversal of 21223122201 is 10222132212.

21223122201 is a `hidden beast` number, since 212 + 231 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 21223122201 - 25 = 21223122169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21223122209) 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 47 ways as a sum of consecutive naturals, for example, 10197481 + ... + 10199561.

It is an arithmetic number, because the mean of its divisors is an integer number (696699660).

Almost surely, 221223122201 is an apocalyptic number.

It is an amenable number.

21223122201 is a deficient number, since it is larger than the sum of its proper divisors (12218461479).

21223122201 is a wasteful number, since it uses less digits than its factorization.

21223122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21223122201 its reverse (10222132212), we get a palindrome (31445254413).

It can be divided in two parts, 212231 and 22201, that added together give a palindrome (234432).

The spelling of 21223122201 in words is "twenty-one billion, two hundred twenty-three million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 17 27 51 153 289 459 867 1307 2081 2601 3921 6243 7803 11763 18729 22219 35289 35377 56187 66657 106131 199971 318393 377723 599913 601409 955179 1133169 1804227 2719867 3399507 5412681 8159601 10198521 16238043 24478803 46237739 73436409 138713217 416139651 786041563 1248418953 2358124689 7074374067 21223122201