Search a number
-
+
22001120222121 = 339716750302877
BaseRepresentation
bin1010000000010100010001…
…11101001001101110101001
32212220021201220012112111000
411000022020331021232221
510340431243234101441
6114443101453225213
74430346161165445
oct500121075115651
985807656175430
1022001120222121
117012693885327
122573b6a792209
13c37909959321
14560c077d1825
152824763912b6
hex140288f49ba9

22001120222121 has 32 divisors (see below), whose sum is σ = 33127463335680. Its totient is φ = 14429279374848.

The previous prime is 22001120222113. The next prime is 22001120222129. The reversal of 22001120222121 is 12122202110022.

It is a happy number.

22001120222121 is a `hidden beast` number, since 2 + 200 + 1 + 120 + 222 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (22001120222113) and next prime (22001120222129).

It is not a de Polignac number, because 22001120222121 - 23 = 22001120222113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22001120222094 and 22001120222103.

It is not an unprimeable number, because it can be changed into a prime (22001120222129) 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 31 ways as a sum of consecutive naturals, for example, 24714066 + ... + 25588811.

It is an arithmetic number, because the mean of its divisors is an integer number (1035233229240).

Almost surely, 222001120222121 is an apocalyptic number.

It is an amenable number.

22001120222121 is a deficient number, since it is larger than the sum of its proper divisors (11126343113559).

22001120222121 is a wasteful number, since it uses less digits than its factorization.

22001120222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50303150 (or 50303144 counting only the distinct ones).

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

Adding to 22001120222121 its reverse (12122202110022), we get a palindrome (34123322332143).

The spelling of 22001120222121 in words is "twenty-two trillion, one billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 97 167 291 501 873 1503 2619 4509 16199 48597 145791 437373 50302877 150908631 452725893 1358177679 4879379069 8400580459 14638137207 25201741377 43914411621 75605224131 131743234863 226815672393 814856304523 2444568913569 7333706740707 22001120222121