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200133212101 is a prime number
BaseRepresentation
bin1011101001100011011…
…1100111011111000101
3201010120121221120010221
42322120313213133011
511234333100241401
6231535005144341
720313326143324
oct2723067473705
9633517846127
10200133212101
117796aa87449
123295425b0b1
1315b45ac09c4
149987a7a0bb
155314ed97a1
hex2e98de77c5

200133212101 has 2 divisors, whose sum is σ = 200133212102. Its totient is φ = 200133212100.

The previous prime is 200133212099. The next prime is 200133212141. The reversal of 200133212101 is 101212331002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164226752001 + 35906460100 = 405249^2 + 189490^2 .

It is a cyclic number.

It is not a de Polignac number, because 200133212101 - 21 = 200133212099 is a prime.

Together with 200133212099, 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 (200133212141) 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 as a sum of consecutive naturals, namely, 100066606050 + 100066606051.

It is an arithmetic number, because the mean of its divisors is an integer number (100066606051).

Almost surely, 2200133212101 is an apocalyptic number.

It is an amenable number.

200133212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200133212101 is an equidigital number, since it uses as much as digits as its factorization.

200133212101 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 200133212101 its reverse (101212331002), we get a palindrome (301345543103).

The spelling of 200133212101 in words is "two hundred billion, one hundred thirty-three million, two hundred twelve thousand, one hundred one".