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100311221113 is a prime number
BaseRepresentation
bin101110101101100000…
…0111100001101111001
3100120220212021000100121
41131123000330031321
53120414133033423
6114025441333241
710150543211455
oct1353300741571
9316825230317
10100311221113
11395a6084134
1217536037221
1395c8138b4c
144bd8515665
15292171345d
hex175b03c379

100311221113 has 2 divisors, whose sum is σ = 100311221114. Its totient is φ = 100311221112.

The previous prime is 100311221089. The next prime is 100311221117. The reversal of 100311221113 is 311122113001.

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., 70377722944 + 29933498169 = 265288^2 + 173013^2 .

It is a cyclic number.

It is not a de Polignac number, because 100311221113 - 217 = 100311090041 is a prime.

It is not a weakly prime, because it can be changed into another prime (100311221117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50155610556 + 50155610557.

It is an arithmetic number, because the mean of its divisors is an integer number (50155610557).

Almost surely, 2100311221113 is an apocalyptic number.

It is an amenable number.

100311221113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100311221113 is an equidigital number, since it uses as much as digits as its factorization.

100311221113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100311221113 its reverse (311122113001), we get a palindrome (411433334114).

The spelling of 100311221113 in words is "one hundred billion, three hundred eleven million, two hundred twenty-one thousand, one hundred thirteen".