Search a number
-
+
22136988381337 is a prime number
BaseRepresentation
bin1010000100010001010110…
…10101000011000010011001
32220101021102210010011020001
411002020223111003002121
510400143023011200322
6115025331515333001
74443226131402634
oct502105325030231
986337383104201
1022136988381337
117065275916315
122596368751161
13c476804b82cb
1456761638ac1b
15285c79498827
hex14222b543099

22136988381337 has 2 divisors, whose sum is σ = 22136988381338. Its totient is φ = 22136988381336.

The previous prime is 22136988381317. The next prime is 22136988381371. The reversal of 22136988381337 is 73318388963122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17903019590416 + 4233968790921 = 4231196^2 + 2057661^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22136988381337 is a prime.

It is not a weakly prime, because it can be changed into another prime (22136988381317) 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, 11068494190668 + 11068494190669.

It is an arithmetic number, because the mean of its divisors is an integer number (11068494190669).

Almost surely, 222136988381337 is an apocalyptic number.

It is an amenable number.

22136988381337 is a deficient number, since it is larger than the sum of its proper divisors (1).

22136988381337 is an equidigital number, since it uses as much as digits as its factorization.

22136988381337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62705664, while the sum is 64.

The spelling of 22136988381337 in words is "twenty-two trillion, one hundred thirty-six billion, nine hundred eighty-eight million, three hundred eighty-one thousand, three hundred thirty-seven".