Search a number
-
+
102202012101 = 3722233117721
BaseRepresentation
bin101111100101110110…
…1101111000111000101
3100202210122010010222110
41133023231233013011
53133302203341401
6114541223451233
710245442524600
oct1371355570705
9322718103873
10102202012101
113a38640a412
12179832b6b19
139839a96b97
144d376a3337
1529d27029d6
hex17cbb6f1c5

102202012101 has 24 divisors (see below), whose sum is σ = 159228297984. Its totient is φ = 58139242560.

The previous prime is 102202012093. The next prime is 102202012153. The reversal of 102202012101 is 101210202201.

It is not a de Polignac number, because 102202012101 - 23 = 102202012093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202012001) 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 23 ways as a sum of consecutive naturals, for example, 1526080 + ... + 1591641.

It is an arithmetic number, because the mean of its divisors is an integer number (6634512416).

Almost surely, 2102202012101 is an apocalyptic number.

It is an amenable number.

102202012101 is a deficient number, since it is larger than the sum of its proper divisors (57026285883).

102202012101 is a wasteful number, since it uses less digits than its factorization.

102202012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117961 (or 3117954 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102202012101 its reverse (101210202201), we get a palindrome (203412214302).

The spelling of 102202012101 in words is "one hundred two billion, two hundred two million, twelve thousand, one hundred one".

Divisors: 1 3 7 21 49 147 223 669 1561 4683 10927 32781 3117721 9353163 21824047 65472141 152768329 458304987 695251783 2085755349 4866762481 14600287443 34067337367 102202012101