Search a number
-
+
102202201212 = 22319344579901
BaseRepresentation
bin101111100101110111…
…0011101010001111100
3100202210122110202101120
41133023232131101330
53133302230414322
6114541231510540
710245444243126
oct1371356352174
9322718422346
10102202201212
113a386529501
1217983388450
139839b31c97
144d37712216
1529d273da5c
hex17cbb9d47c

102202201212 has 48 divisors (see below), whose sum is σ = 239785406112. Its totient is φ = 33879859200.

The previous prime is 102202201177. The next prime is 102202201217. The reversal of 102202201212 is 212102202201.

102202201212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102202201191 and 102202201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202201217) 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 15 ways as a sum of consecutive naturals, for example, 10317462 + ... + 10327362.

It is an arithmetic number, because the mean of its divisors is an integer number (4995529294).

Almost surely, 2102202201212 is an apocalyptic number.

102202201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202201212 is an abundant number, since it is smaller than the sum of its proper divisors (137583204900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102202201212 is a wasteful number, since it uses less digits than its factorization.

102202201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14558 (or 14556 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102202201212 its reverse (212102202201), we get a palindrome (314304403413).

It can be divided in two parts, 102202201 and 212, that multiplied together give a palindrome (21666866612).

The spelling of 102202201212 in words is "one hundred two billion, two hundred two million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 193 386 579 772 1158 2316 4457 8914 9901 13371 17828 19802 26742 29703 39604 53484 59406 118812 860201 1720402 1910893 2580603 3440804 3821786 5161206 5732679 7643572 10322412 11465358 22930716 44128757 88257514 132386271 176515028 264772542 529545084 8516850101 17033700202 25550550303 34067400404 51101100606 102202201212