Search a number
-
+
22111000111153 is a prime number
BaseRepresentation
bin1010000011100000111100…
…10011101010100000110001
32220021210100121121020120201
411001300132103222200301
510344231312012024103
6115005353032435201
74441316123633242
oct501603623524061
986253317536521
1022111000111153
11705524a148278
122591315248b01
13c4509b2c0945
1456626ca6acc9
15285257b6051d
hex141c1e4ea831

22111000111153 has 2 divisors, whose sum is σ = 22111000111154. Its totient is φ = 22111000111152.

The previous prime is 22111000111147. The next prime is 22111000111157. The reversal of 22111000111153 is 35111100011122.

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., 13236994039824 + 8874006071329 = 3638268^2 + 2978927^2 .

It is a cyclic number.

It is not a de Polignac number, because 22111000111153 - 25 = 22111000111121 is a prime.

It is a super-3 number, since 3×221110001111533 (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 22111000111153.

It is not a weakly prime, because it can be changed into another prime (22111000111157) 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, 11055500055576 + 11055500055577.

It is an arithmetic number, because the mean of its divisors is an integer number (11055500055577).

Almost surely, 222111000111153 is an apocalyptic number.

It is an amenable number.

22111000111153 is a deficient number, since it is larger than the sum of its proper divisors (1).

22111000111153 is an equidigital number, since it uses as much as digits as its factorization.

22111000111153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 19.

Adding to 22111000111153 its reverse (35111100011122), we get a palindrome (57222100122275).

The spelling of 22111000111153 in words is "twenty-two trillion, one hundred eleven billion, one hundred eleven thousand, one hundred fifty-three".