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100033230113 is a prime number
BaseRepresentation
bin101110100101001110…
…0011111010100100001
3100120012111011121101122
41131022130133110201
53114332001330423
6113542111142025
710140626266205
oct1351234372441
9316174147348
10100033230113
1139473172403
1217478b14915
139582675a2b
144bad630b05
1529071008c8
hex174a71f521

100033230113 has 2 divisors, whose sum is σ = 100033230114. Its totient is φ = 100033230112.

The previous prime is 100033230097. The next prime is 100033230139. The reversal of 100033230113 is 311032330001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87919366144 + 12113863969 = 296512^2 + 110063^2 .

It is a cyclic number.

It is not a de Polignac number, because 100033230113 - 24 = 100033230097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100033230091 and 100033230100.

It is not a weakly prime, because it can be changed into another prime (100033230313) 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, 50016615056 + 50016615057.

It is an arithmetic number, because the mean of its divisors is an integer number (50016615057).

Almost surely, 2100033230113 is an apocalyptic number.

It is an amenable number.

100033230113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033230113 is an equidigital number, since it uses as much as digits as its factorization.

100033230113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100033230113 its reverse (311032330001), we get a palindrome (411065560114).

The spelling of 100033230113 in words is "one hundred billion, thirty-three million, two hundred thirty thousand, one hundred thirteen".