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22012212200117 is a prime number
BaseRepresentation
bin1010000000101000111100…
…00101101100001010110101
32212221100100220201101210212
411000110132011230022311
510341122002310400432
6114452134244555205
74431221065352636
oct500243605541265
985840326641725
1022012212200117
117017365a25597
1225761453b2b05
13c38986949009
1456157a9a588d
152828c504d2b2
hex14051e16c2b5

22012212200117 has 2 divisors, whose sum is σ = 22012212200118. Its totient is φ = 22012212200116.

The previous prime is 22012212199969. The next prime is 22012212200137. The reversal of 22012212200117 is 71100221221022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18378789128401 + 3633423071716 = 4287049^2 + 1906154^2 .

It is a cyclic number.

It is not a de Polignac number, because 22012212200117 - 224 = 22012195422901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22012212200092 and 22012212200101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22012212200137) 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 as a sum of consecutive naturals, namely, 11006106100058 + 11006106100059.

It is an arithmetic number, because the mean of its divisors is an integer number (11006106100059).

Almost surely, 222012212200117 is an apocalyptic number.

It is an amenable number.

22012212200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22012212200117 is an equidigital number, since it uses as much as digits as its factorization.

22012212200117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 22012212200117 its reverse (71100221221022), we get a palindrome (93112433421139).

The spelling of 22012212200117 in words is "twenty-two trillion, twelve billion, two hundred twelve million, two hundred thousand, one hundred seventeen".