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233012002213 is a prime number
BaseRepresentation
bin1101100100000010011…
…0001111110110100101
3211021110000012011011001
43121000212033312211
512304202033032323
6255013315513301
722556153224264
oct3310046176645
9737400164131
10233012002213
118a902223061
12391ab2b8831
1318c8570b7b3
14b3c65785db
1560db7133ad
hex364098fda5

233012002213 has 2 divisors, whose sum is σ = 233012002214. Its totient is φ = 233012002212.

The previous prime is 233012002207. The next prime is 233012002291. The reversal of 233012002213 is 312200210332.

233012002213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189105828769 + 43906173444 = 434863^2 + 209538^2 .

It is a cyclic number.

It is not a de Polignac number, because 233012002213 - 29 = 233012001701 is a prime.

It is a super-2 number, since 2×2330120022132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233012002313) 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, 116506001106 + 116506001107.

It is an arithmetic number, because the mean of its divisors is an integer number (116506001107).

Almost surely, 2233012002213 is an apocalyptic number.

It is an amenable number.

233012002213 is a deficient number, since it is larger than the sum of its proper divisors (1).

233012002213 is an equidigital number, since it uses as much as digits as its factorization.

233012002213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 233012002213 its reverse (312200210332), we get a palindrome (545212212545).

The spelling of 233012002213 in words is "two hundred thirty-three billion, twelve million, two thousand, two hundred thirteen".