Search a number
-
+
200000100001153 is a prime number
BaseRepresentation
bin101101011110011000100110…
…111010100110010110000001
3222020010211012211210122100211
4231132120212322212112001
5202203300201100014103
61545210435540514121
760061346631313204
oct5536304672462601
9866124184718324
10200000100001153
11587a9625505731
121a5214389ab941
138779c0bc0306a
1437560b101593b
15181c6dcc4436d
hexb5e626ea6581

200000100001153 has 2 divisors, whose sum is σ = 200000100001154. Its totient is φ = 200000100001152.

The previous prime is 200000100001151. The next prime is 200000100001231. The reversal of 200000100001153 is 351100001000002.

200000100001153 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., 173514018590784 + 26486081410369 = 13172472^2 + 5146463^2 .

It is a cyclic number.

It is not a de Polignac number, because 200000100001153 - 21 = 200000100001151 is a prime.

Together with 200000100001151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (200000100001151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100000050000576 + 100000050000577.

It is an arithmetic number, because the mean of its divisors is an integer number (100000050000577).

Almost surely, 2200000100001153 is an apocalyptic number.

It is an amenable number.

200000100001153 is a deficient number, since it is larger than the sum of its proper divisors (1).

200000100001153 is an equidigital number, since it uses as much as digits as its factorization.

200000100001153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 200000100001153 its reverse (351100001000002), we get a palindrome (551100101001155).

The spelling of 200000100001153 in words is "two hundred trillion, one hundred million, one thousand, one hundred fifty-three".