Search a number
-
+
100200112921 is a prime number
BaseRepresentation
bin101110101010001100…
…1000110001100011001
3100120122010012010120101
41131110121012030121
53120202212103141
6114010432055401
710145023623046
oct1352431061431
9316563163511
10100200112921
1139549395987
1217504994561
1395ab10625c
144bc78721cd
152916ab7531
hex1754646319

100200112921 has 2 divisors, whose sum is σ = 100200112922. Its totient is φ = 100200112920.

The previous prime is 100200112889. The next prime is 100200112933. The reversal of 100200112921 is 129211002001.

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., 74226278025 + 25973834896 = 272445^2 + 161164^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200112921 - 25 = 100200112889 is a prime.

It is not a weakly prime, because it can be changed into another prime (100200112121) 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, 50100056460 + 50100056461.

It is an arithmetic number, because the mean of its divisors is an integer number (50100056461).

Almost surely, 2100200112921 is an apocalyptic number.

It is an amenable number.

100200112921 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200112921 is an equidigital number, since it uses as much as digits as its factorization.

100200112921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 100200112921 its reverse (129211002001), we get a palindrome (229411114922).

The spelling of 100200112921 in words is "one hundred billion, two hundred million, one hundred twelve thousand, nine hundred twenty-one".