Search a number
-
+
22002211102221 = 327349241446067
BaseRepresentation
bin1010000000010110010011…
…11110100001111000001101
32212220101112220212222122200
411000023021332201320031
510340441012020232341
6114443402022432113
74430415205416060
oct500131176417015
985811486788580
1022002211102221
1170130a3630729
122574213b92639
13c37a51965bcc
14560cac6388d7
152824dc024db6
hex1402c9fa1e0d

22002211102221 has 12 divisors (see below), whose sum is σ = 36321110391072. Its totient is φ = 12572692058376.

The previous prime is 22002211102213. The next prime is 22002211102229. The reversal of 22002211102221 is 12220111220022.

It is a happy number.

22002211102221 is a `hidden beast` number, since 220 + 0 + 2 + 211 + 10 + 2 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (22002211102213) and next prime (22002211102229).

It is not a de Polignac number, because 22002211102221 - 23 = 22002211102213 is a prime.

It is a super-2 number, since 2×220022111022212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22002211102194 and 22002211102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002211102229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174620722971 + ... + 174620723096.

It is an arithmetic number, because the mean of its divisors is an integer number (3026759199256).

Almost surely, 222002211102221 is an apocalyptic number.

22002211102221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22002211102221 is a deficient number, since it is larger than the sum of its proper divisors (14318899288851).

22002211102221 is a wasteful number, since it uses less digits than its factorization.

22002211102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349241446080 (or 349241446077 counting only the distinct ones).

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

Adding to 22002211102221 its reverse (12220111220022), we get a palindrome (34222322322243).

The spelling of 22002211102221 in words is "twenty-two trillion, two billion, two hundred eleven million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 349241446067 1047724338201 2444690122469 3143173014603 7334070367407 22002211102221