Search a number
-
+
22100233133117 is a prime number
BaseRepresentation
bin1010000011001100111001…
…00010111001110000111101
32220020202120020122002101102
411001212130202321300331
510344042234140224432
6115000412411022445
74440455244060566
oct501463442716075
986222506562342
1022100233133117
1170507244a7317
12258b20b43aa25
13c44073742c19
1456592aad716d
15284d2779e962
hex14199c8b9c3d

22100233133117 has 2 divisors, whose sum is σ = 22100233133118. Its totient is φ = 22100233133116.

The previous prime is 22100233133057. The next prime is 22100233133131. The reversal of 22100233133117 is 71133133200122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12782727186436 + 9317505946681 = 3575294^2 + 3052459^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100233133117 - 224 = 22100216355901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22100233133117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100233133177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050116566558 + 11050116566559.

It is an arithmetic number, because the mean of its divisors is an integer number (11050116566559).

Almost surely, 222100233133117 is an apocalyptic number.

It is an amenable number.

22100233133117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100233133117 is an equidigital number, since it uses as much as digits as its factorization.

22100233133117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 22100233133117 its reverse (71133133200122), we get a palindrome (93233366333239).

The spelling of 22100233133117 in words is "twenty-two trillion, one hundred billion, two hundred thirty-three million, one hundred thirty-three thousand, one hundred seventeen".