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233020011221 is a prime number
BaseRepresentation
bin1101100100000100010…
…0110011001011010101
3211021110120021001102222
43121001010303023111
512304211110324341
6255014203312125
722556311262204
oct3310104631325
9737416231388
10233020011221
118a9067a3378
12391b1b1b645
1318c8728405a
14b3c766123b
1560dc29644b
hex36411332d5

233020011221 has 2 divisors, whose sum is σ = 233020011222. Its totient is φ = 233020011220.

The previous prime is 233020011199. The next prime is 233020011227. The reversal of 233020011221 is 122110020332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194468652196 + 38551359025 = 440986^2 + 196345^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233020011221 is a prime.

It is a super-3 number, since 3×2330200112213 (a number of 35 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 233020011221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233020011227) 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, 116510005610 + 116510005611.

It is an arithmetic number, because the mean of its divisors is an integer number (116510005611).

Almost surely, 2233020011221 is an apocalyptic number.

It is an amenable number.

233020011221 is a deficient number, since it is larger than the sum of its proper divisors (1).

233020011221 is an equidigital number, since it uses as much as digits as its factorization.

233020011221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 233020011221 its reverse (122110020332), we get a palindrome (355130031553).

The spelling of 233020011221 in words is "two hundred thirty-three billion, twenty million, eleven thousand, two hundred twenty-one".