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201132000222133 is a prime number
BaseRepresentation
bin101101101110110110110001…
…011011010001101110110101
3222101011000211220202112121111
4231232312301123101232311
5202330321314024102013
61551434433150515021
760236210315406361
oct5556666133215665
9871130756675544
10201132000222133
11590a5669696912
121a68488bb05a71
13882c887953726
143794bab04c2a1
15183bd8907273d
hexb6edb16d1bb5

201132000222133 has 2 divisors, whose sum is σ = 201132000222134. Its totient is φ = 201132000222132.

The previous prime is 201132000222119. The next prime is 201132000222157. The reversal of 201132000222133 is 331222000231102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170530115803524 + 30601884418609 = 13058718^2 + 5531897^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201132000222133 is a prime.

It is a super-2 number, since 2×2011320002221332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201132000222173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100566000111066 + 100566000111067.

It is an arithmetic number, because the mean of its divisors is an integer number (100566000111067).

Almost surely, 2201132000222133 is an apocalyptic number.

It is an amenable number.

201132000222133 is a deficient number, since it is larger than the sum of its proper divisors (1).

201132000222133 is an equidigital number, since it uses as much as digits as its factorization.

201132000222133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 201132000222133 its reverse (331222000231102), we get a palindrome (532354000453235).

The spelling of 201132000222133 in words is "two hundred one trillion, one hundred thirty-two billion, two hundred twenty-two thousand, one hundred thirty-three".