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100303136317 is a prime number
BaseRepresentation
bin101110101101010001…
…0000110011000111101
3100120220022001021002201
41131122202012120331
53120410100330232
6114024552151501
710150414406566
oct1353242063075
9316808037081
10100303136317
11395a156198a
1217533398591
1395c6567c47
144bd740d16d
152920b67be7
hex175a88663d

100303136317 has 2 divisors, whose sum is σ = 100303136318. Its totient is φ = 100303136316.

The previous prime is 100303136299. The next prime is 100303136359. The reversal of 100303136317 is 713631303001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86401311481 + 13901824836 = 293941^2 + 117906^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100303136317 is a prime.

It is a super-4 number, since 4×1003031363174 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100303136377) 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, 50151568158 + 50151568159.

It is an arithmetic number, because the mean of its divisors is an integer number (50151568159).

Almost surely, 2100303136317 is an apocalyptic number.

It is an amenable number.

100303136317 is a deficient number, since it is larger than the sum of its proper divisors (1).

100303136317 is an equidigital number, since it uses as much as digits as its factorization.

100303136317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 28.

Adding to 100303136317 its reverse (713631303001), we get a palindrome (813934439318).

The spelling of 100303136317 in words is "one hundred billion, three hundred three million, one hundred thirty-six thousand, three hundred seventeen".