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102414311221 = 281364463741
BaseRepresentation
bin101111101100001011…
…1100101111100110101
3100210100102121001121211
41133120113211330311
53134221030424341
6115014250041421
710253631165505
oct1373027457465
9323312531554
10102414311221
113a485232932
1217a22419271
139871a69371
144d57967a05
1529e618b181
hex17d85e5f35

102414311221 has 4 divisors (see below), whose sum is σ = 102778775244. Its totient is φ = 102049847200.

The previous prime is 102414311179. The next prime is 102414311303. The reversal of 102414311221 is 122113414201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 122113414201 = 237751372913.

It can be written as a sum of positive squares in 2 ways, for example, as 52584910596 + 49829400625 = 229314^2 + 223225^2 .

It is a cyclic number.

It is not a de Polignac number, because 102414311221 - 29 = 102414310709 is a prime.

It is a super-2 number, since 2×1024143112212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102414311192 and 102414311201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102414311521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182231590 + ... + 182232151.

It is an arithmetic number, because the mean of its divisors is an integer number (25694693811).

Almost surely, 2102414311221 is an apocalyptic number.

It is an amenable number.

102414311221 is a deficient number, since it is larger than the sum of its proper divisors (364464023).

102414311221 is an equidigital number, since it uses as much as digits as its factorization.

102414311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364464022.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 102414311221 its reverse (122113414201), we get a palindrome (224527725422).

The spelling of 102414311221 in words is "one hundred two billion, four hundred fourteen million, three hundred eleven thousand, two hundred twenty-one".

Divisors: 1 281 364463741 102414311221