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21222102221001 = 3311709100782637
BaseRepresentation
bin1001101001101001001111…
…10111010100000011001001
32210010210221210101202222000
410310310213313110003021
510240200331132033001
6113045144342021213
74320150322346013
oct464644767240311
983123853352860
1021222102221001
116842274498980
122468b9b117809
13bac30a961106
14535225d351b3
1526c080142a86
hex134d27dd40c9

21222102221001 has 32 divisors (see below), whose sum is σ = 34346723030400. Its totient is φ = 12843739131840.

The previous prime is 21222102220999. The next prime is 21222102221081. The reversal of 21222102221001 is 10012220122212.

It is a happy number.

21222102221001 is a `hidden beast` number, since 212 + 221 + 0 + 22 + 210 + 0 + 1 = 666.

It is not a de Polignac number, because 21222102221001 - 21 = 21222102220999 is a prime.

It is a super-3 number, since 3×212221022210013 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21222102221081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50180746 + ... + 50601891.

It is an arithmetic number, because the mean of its divisors is an integer number (1073335094700).

Almost surely, 221222102221001 is an apocalyptic number.

It is an amenable number.

21222102221001 is a deficient number, since it is larger than the sum of its proper divisors (13124620809399).

21222102221001 is a wasteful number, since it uses less digits than its factorization.

21222102221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100783366 (or 100783360 counting only the distinct ones).

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

Adding to 21222102221001 its reverse (10012220122212), we get a palindrome (31234322343213).

The spelling of 21222102221001 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred two million, two hundred twenty-one thousand, one".

Divisors: 1 3 9 11 27 33 99 297 709 2127 6381 7799 19143 23397 70191 210573 100782637 302347911 907043733 1108609007 2721131199 3325827021 9977481063 29932443189 71454889633 214364668899 643094006697 786003785963 1929282020091 2358011357889 7074034073667 21222102221001