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22022200120001 = 61391333933569
BaseRepresentation
bin1010000000111011100010…
…11010100101001011000001
32212222022010222202022010112
411000131301122211023001
510341302431212320001
6114500505320441105
74432023435312614
oct500356132451301
985868128668115
1022022200120001
117020620939634
122578072319195
13c398b8c96b93
14561c472a217b
15282cabd21cbb
hex1407716a52c1

22022200120001 has 8 divisors (see below), whose sum is σ = 22060546225320. Its totient is φ = 21983861901312.

The previous prime is 22022200119947. The next prime is 22022200120093. The reversal of 22022200120001 is 10002100222022.

It can be written as a sum of positive squares in 4 ways, for example, as 3102614507776 + 18919585612225 = 1761424^2 + 4349665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22022200120001 is a prime.

It is a super-3 number, since 3×220222001200013 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22022200120601) 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 7 ways as a sum of consecutive naturals, for example, 3631745 + ... + 7565313.

It is an arithmetic number, because the mean of its divisors is an integer number (2757568278165).

Almost surely, 222022200120001 is an apocalyptic number.

It is an amenable number.

22022200120001 is a deficient number, since it is larger than the sum of its proper divisors (38346105319).

22022200120001 is an equidigital number, since it uses as much as digits as its factorization.

22022200120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943315.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22022200120001 its reverse (10002100222022), we get a palindrome (32024300342023).

The spelling of 22022200120001 in words is "twenty-two trillion, twenty-two billion, two hundred million, one hundred twenty thousand, one".

Divisors: 1 613 9133 3933569 5598529 2411277797 35925285677 22022200120001