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100303131133 is a prime number
BaseRepresentation
bin101110101101010001…
…0000101000111111101
3100120220022000222222201
41131122202011013331
53120410100144013
6114024552111501
710150414355512
oct1353242050775
9316808028881
10100303131133
11395a1558aa7
1217533395591
1395c656578a
144bd740b309
152920b663dd
hex175a8851fd

100303131133 has 2 divisors, whose sum is σ = 100303131134. Its totient is φ = 100303131132.

The previous prime is 100303131113. The next prime is 100303131143. The reversal of 100303131133 is 331131303001.

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., 65759934969 + 34543196164 = 256437^2 + 185858^2 .

It is a cyclic number.

It is not a de Polignac number, because 100303131133 - 25 = 100303131101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100303131133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100303131113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50151565566 + 50151565567.

It is an arithmetic number, because the mean of its divisors is an integer number (50151565567).

Almost surely, 2100303131133 is an apocalyptic number.

It is an amenable number.

100303131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100303131133 is an equidigital number, since it uses as much as digits as its factorization.

100303131133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 100303131133 its reverse (331131303001), we get a palindrome (431434434134).

The spelling of 100303131133 in words is "one hundred billion, three hundred three million, one hundred thirty-one thousand, one hundred thirty-three".