Search a number
-
+
22142433403381 is a prime number
BaseRepresentation
bin1010000100011011011111…
…11000001010000111110101
32220101210111020212221021011
411002031233320022013311
510400240200422402011
6115032032105152221
74443511066334524
oct502155770120765
986353436787234
1022142433403381
11706760a449a35
12259742818b671
13c4803a5bcb45
145679b15b24bb
15285e97508621
hex14236fe0a1f5

22142433403381 has 2 divisors, whose sum is σ = 22142433403382. Its totient is φ = 22142433403380.

The previous prime is 22142433403351. The next prime is 22142433403411. The reversal of 22142433403381 is 18330433424122.

It is a balanced prime because it is at equal distance from previous prime (22142433403351) and next prime (22142433403411).

It can be written as a sum of positive squares in only one way, i.e., 21901417211025 + 241016192356 = 4679895^2 + 490934^2 .

It is a cyclic number.

It is not a de Polignac number, because 22142433403381 - 27 = 22142433403253 is a prime.

It is a super-2 number, since 2×221424334033812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22142433403301) 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, 11071216701690 + 11071216701691.

It is an arithmetic number, because the mean of its divisors is an integer number (11071216701691).

Almost surely, 222142433403381 is an apocalyptic number.

It is an amenable number.

22142433403381 is a deficient number, since it is larger than the sum of its proper divisors (1).

22142433403381 is an equidigital number, since it uses as much as digits as its factorization.

22142433403381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 22142433403381 in words is "twenty-two trillion, one hundred forty-two billion, four hundred thirty-three million, four hundred three thousand, three hundred eighty-one".