Search a number
-
+
219169103957 is a prime number
BaseRepresentation
bin1100110000011101111…
…1110010000001010101
3202221201021100001122122
43030013133302001111
512042324242311312
6244403534305325
721556133434316
oct3140737620125
9687637301578
10219169103957
1184a49277781
1236587358245
131788a81713b
14a871cb860d
155a7b2b3b72
hex33077f2055

219169103957 has 2 divisors, whose sum is σ = 219169103958. Its totient is φ = 219169103956.

The previous prime is 219169103953. The next prime is 219169104053. The reversal of 219169103957 is 759301961912.

219169103957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202132067281 + 17037036676 = 449591^2 + 130526^2 .

It is a cyclic number.

It is not a de Polignac number, because 219169103957 - 22 = 219169103953 is a prime.

It is a super-2 number, since 2×2191691039572 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 219169103899 and 219169103908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (219169103953) 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, 109584551978 + 109584551979.

It is an arithmetic number, because the mean of its divisors is an integer number (109584551979).

Almost surely, 2219169103957 is an apocalyptic number.

It is an amenable number.

219169103957 is a deficient number, since it is larger than the sum of its proper divisors (1).

219169103957 is an equidigital number, since it uses as much as digits as its factorization.

219169103957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 918540, while the sum is 53.

The spelling of 219169103957 in words is "two hundred nineteen billion, one hundred sixty-nine million, one hundred three thousand, nine hundred fifty-seven".