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12133202101 is a prime number
BaseRepresentation
bin10110100110011000…
…11111100010110101
31011022120202112021121
423103030133202311
5144322044431401
65323544343541
7606446342026
oct132314374265
934276675247
1012133202101
115166970359
122427474bb1
1311b4931937
148315b2c4d
154b02d2ca1
hex2d331f8b5

12133202101 has 2 divisors, whose sum is σ = 12133202102. Its totient is φ = 12133202100.

The previous prime is 12133202099. The next prime is 12133202131. The reversal of 12133202101 is 10120233121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9653062500 + 2480139601 = 98250^2 + 49801^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133202101 - 21 = 12133202099 is a prime.

Together with 12133202099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12133202131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066601050 + 6066601051.

It is an arithmetic number, because the mean of its divisors is an integer number (6066601051).

Almost surely, 212133202101 is an apocalyptic number.

It is an amenable number.

12133202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133202101 is an equidigital number, since it uses as much as digits as its factorization.

12133202101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12133202101 its reverse (10120233121), we get a palindrome (22253435222).

The spelling of 12133202101 in words is "twelve billion, one hundred thirty-three million, two hundred two thousand, one hundred one".