Search a number
-
+
21122201020221 = 327973456423011
BaseRepresentation
bin1001100110101111001010…
…10010011110011100111101
32202210021002111122221202200
410303113211102132130331
510232031231430121341
6112531223304342113
74310012555221620
oct463274522363475
982707074587680
1021122201020221
116803969904124
12245175a474939
13ba2a79764762
1453046a071db7
15269684921db6
hex1335e549e73d

21122201020221 has 24 divisors (see below), whose sum is σ = 35227863338304. Its totient is φ = 11945397922560.

The previous prime is 21122201020211. The next prime is 21122201020307. The reversal of 21122201020221 is 12202010222112.

It is a happy number.

21122201020221 is a `hidden beast` number, since 211 + 2 + 220 + 10 + 2 + 0 + 221 = 666.

It is not a de Polignac number, because 21122201020221 - 25 = 21122201020189 is a prime.

It is a super-2 number, since 2×211222010202212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122201020194 and 21122201020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122201020211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1728205395 + ... + 1728217616.

It is an arithmetic number, because the mean of its divisors is an integer number (1467827639096).

Almost surely, 221122201020221 is an apocalyptic number.

21122201020221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21122201020221 is a deficient number, since it is larger than the sum of its proper divisors (14105662318083).

21122201020221 is a wasteful number, since it uses less digits than its factorization.

21122201020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456423121 (or 3456423118 counting only the distinct ones).

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

Adding to 21122201020221 its reverse (12202010222112), we get a palindrome (33324211242333).

The spelling of 21122201020221 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred one million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 97 291 679 873 2037 6111 3456423011 10369269033 24194961077 31107807099 72584883231 217754649693 335273032067 1005819096201 2346911224469 3017457288603 7040733673407 21122201020221