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22212201200201 is a prime number
BaseRepresentation
bin1010000110011101011100…
…10111001011101001001001
32220122110120111022020020222
411003032232113023221021
510402411042001401301
6115124051103155425
74451531023664135
oct503165627135111
986573514266228
1022212201200201
117094161563351
1225a8a592a5b75
13c517a88b645c
1456b10d4223c5
15287bcc54d31b
hex1433ae5cba49

22212201200201 has 2 divisors, whose sum is σ = 22212201200202. Its totient is φ = 22212201200200.

The previous prime is 22212201200177. The next prime is 22212201200213. The reversal of 22212201200201 is 10200210221222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21748745238025 + 463455962176 = 4663555^2 + 680776^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22212201200201 is a prime.

It is a super-3 number, since 3×222122012002013 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22212201200201.

It is not a weakly prime, because it can be changed into another prime (22212201200281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11106100600100 + 11106100600101.

It is an arithmetic number, because the mean of its divisors is an integer number (11106100600101).

Almost surely, 222212201200201 is an apocalyptic number.

It is an amenable number.

22212201200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212201200201 is an equidigital number, since it uses as much as digits as its factorization.

22212201200201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22212201200201 its reverse (10200210221222), we get a palindrome (32412411421423).

The spelling of 22212201200201 in words is "twenty-two trillion, two hundred twelve billion, two hundred one million, two hundred thousand, two hundred one".