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22113311220001 is a prime number
BaseRepresentation
bin1010000011100101010000…
…00011110110000100100001
32220022000022200100201220201
411001302220003312010201
510344301030133020001
6115010414231505201
74441430316013021
oct501625003660441
986260280321821
1022113311220001
117056225766591
12259185b228201
13c45379055281
1456640b98ba81
152853409c8501
hex141ca80f6121

22113311220001 has 2 divisors, whose sum is σ = 22113311220002. Its totient is φ = 22113311220000.

The previous prime is 22113311219983. The next prime is 22113311220059. The reversal of 22113311220001 is 10002211331122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16642034686225 + 5471276533776 = 4079465^2 + 2339076^2 .

It is a cyclic number.

It is not a de Polignac number, because 22113311220001 - 217 = 22113311088929 is a prime.

It is a super-2 number, since 2×221133112200012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22113311220061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056655610000 + 11056655610001.

It is an arithmetic number, because the mean of its divisors is an integer number (11056655610001).

Almost surely, 222113311220001 is an apocalyptic number.

It is an amenable number.

22113311220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22113311220001 is an equidigital number, since it uses as much as digits as its factorization.

22113311220001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 22113311220001 its reverse (10002211331122), we get a palindrome (32115522551123).

The spelling of 22113311220001 in words is "twenty-two trillion, one hundred thirteen billion, three hundred eleven million, two hundred twenty thousand, one".