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102211144133 = 722085941717
BaseRepresentation
bin101111100110001000…
…0100100100111000101
3100202211021022002202212
41133030100210213011
53133312023103013
6114542151313205
710245613250600
oct1371420444705
9322737262685
10102211144133
113a39058744a
121798637b805
13983b943657
144d3899d337
1529d34086a8
hex17cc4249c5

102211144133 has 6 divisors (see below), whose sum is σ = 118898677926. Its totient is φ = 87609552072.

The previous prime is 102211144121. The next prime is 102211144163. The reversal of 102211144133 is 331441112201.

It can be written as a sum of positive squares in only one way, i.e., 92660577604 + 9550566529 = 304402^2 + 97727^2 .

It is not a de Polignac number, because 102211144133 - 214 = 102211127749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102211144099 and 102211144108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211144103) 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 in 5 ways as a sum of consecutive naturals, for example, 1042970810 + ... + 1042970907.

It is an arithmetic number, because the mean of its divisors is an integer number (19816446321).

Almost surely, 2102211144133 is an apocalyptic number.

It is an amenable number.

102211144133 is a deficient number, since it is larger than the sum of its proper divisors (16687533793).

102211144133 is an equidigital number, since it uses as much as digits as its factorization.

102211144133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085941731 (or 2085941724 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 102211144133 its reverse (331441112201), we get a palindrome (433652256334).

The spelling of 102211144133 in words is "one hundred two billion, two hundred eleven million, one hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 7 49 2085941717 14601592019 102211144133