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10103157133 is a prime number
BaseRepresentation
bin10010110100011000…
…11111000110001101
3222002002212120002221
421122030133012031
5131142402012013
64350305415341
7505236263416
oct113214370615
928062776087
1010103157133
114314a72543
121b5b63a551
13c50197cb4
146bbb3680d
153e1e8808d
hex25a31f18d

10103157133 has 2 divisors, whose sum is σ = 10103157134. Its totient is φ = 10103157132.

The previous prime is 10103157131. The next prime is 10103157139. The reversal of 10103157133 is 33175130101.

10103157133 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., 9152174889 + 950982244 = 95667^2 + 30838^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103157133 - 21 = 10103157131 is a prime.

Together with 10103157131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10103157098 and 10103157107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103157131) 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, 5051578566 + 5051578567.

It is an arithmetic number, because the mean of its divisors is an integer number (5051578567).

Almost surely, 210103157133 is an apocalyptic number.

It is an amenable number.

10103157133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103157133 is an equidigital number, since it uses as much as digits as its factorization.

10103157133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 25.

Adding to 10103157133 its reverse (33175130101), we get a palindrome (43278287234).

The spelling of 10103157133 in words is "ten billion, one hundred three million, one hundred fifty-seven thousand, one hundred thirty-three".