Search a number
-
+
102202100221 = 1330559257263
BaseRepresentation
bin101111100101110111…
…0000100100111111101
3100202210122021121212011
41133023232010213331
53133302214201341
6114541225411221
710245443342524
oct1371356044775
9322718247764
10102202100221
113a38646a641
1217983339b11
139839ac8020
144d376c74bb
1529d271db81
hex17cbb849fd

102202100221 has 8 divisors (see below), whose sum is σ = 110067829760. Its totient is φ = 94336946352.

The previous prime is 102202100213. The next prime is 102202100243. The reversal of 102202100221 is 122001202201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102202100221 - 23 = 102202100213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202100201) 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 7 ways as a sum of consecutive naturals, for example, 268636 + ... + 525898.

It is an arithmetic number, because the mean of its divisors is an integer number (13758478720).

Almost surely, 2102202100221 is an apocalyptic number.

It is an amenable number.

102202100221 is a deficient number, since it is larger than the sum of its proper divisors (7865729539).

102202100221 is a wasteful number, since it uses less digits than its factorization.

102202100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287835.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102202100221 its reverse (122001202201), we get a palindrome (224203302422).

The spelling of 102202100221 in words is "one hundred two billion, two hundred two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 13 30559 257263 397267 3344419 7861700017 102202100221