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220133133001 is a prime number
BaseRepresentation
bin1100110100000011110…
…1010000101011001001
3210001012110022210220001
43031000331100223021
512101313040224001
6245043333003001
721622050520525
oct3150075205311
9701173283801
10220133133001
11853a3461aa1
12367b6183461
13179b246b622
14a923d40d85
155ad5c3c001
hex3340f50ac9

220133133001 has 2 divisors, whose sum is σ = 220133133002. Its totient is φ = 220133133000.

The previous prime is 220133132951. The next prime is 220133133013. The reversal of 220133133001 is 100331331022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219421043776 + 712089225 = 468424^2 + 26685^2 .

It is a cyclic number.

It is not a de Polignac number, because 220133133001 - 217 = 220133001929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220133133001.

It is not a weakly prime, because it can be changed into another prime (220133133061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110066566500 + 110066566501.

It is an arithmetic number, because the mean of its divisors is an integer number (110066566501).

Almost surely, 2220133133001 is an apocalyptic number.

It is an amenable number.

220133133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

220133133001 is an equidigital number, since it uses as much as digits as its factorization.

220133133001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 220133133001 its reverse (100331331022), we get a palindrome (320464464023).

The spelling of 220133133001 in words is "two hundred twenty billion, one hundred thirty-three million, one hundred thirty-three thousand, one".