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22022022102001 is a prime number
BaseRepresentation
bin1010000000111011001101…
…10011011111101111110001
32212222021200120210001100021
411000131212303133233301
510341302100124231001
6114500435521123441
74432016144220655
oct500354663375761
985867616701307
1022022022102001
11702053a400019
122578022789581
13c3988b13819c
14561c2b7a2a65
15282c9b3aaba1
hex140766cdfbf1

22022022102001 has 2 divisors, whose sum is σ = 22022022102002. Its totient is φ = 22022022102000.

The previous prime is 22022022101977. The next prime is 22022022102019. The reversal of 22022022102001 is 10020122022022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21145834371600 + 876187730401 = 4598460^2 + 936049^2 .

It is a cyclic number.

It is not a de Polignac number, because 22022022102001 - 221 = 22022020004849 is a prime.

It is a super-3 number, since 3×220220221020013 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (22022022102061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11011011051000 + 11011011051001.

It is an arithmetic number, because the mean of its divisors is an integer number (11011011051001).

Almost surely, 222022022102001 is an apocalyptic number.

It is an amenable number.

22022022102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22022022102001 is an equidigital number, since it uses as much as digits as its factorization.

22022022102001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22022022102001 its reverse (10020122022022), we get a palindrome (32042144124023).

The spelling of 22022022102001 in words is "twenty-two trillion, twenty-two billion, twenty-two million, one hundred two thousand, one".