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233022012133 is a prime number
BaseRepresentation
bin1101100100000100110…
…0011011101011100101
3211021110201000201011211
43121001030123223211
512304212113342013
6255014314231421
722556334264601
oct3310114335345
9737421021154
10233022012133
118a90793a719
12391b2725571
1318c87804a21
14b3c7a22501
1560dc53e23d
hex364131bae5

233022012133 has 2 divisors, whose sum is σ = 233022012134. Its totient is φ = 233022012132.

The previous prime is 233022012107. The next prime is 233022012149. The reversal of 233022012133 is 331210220332.

233022012133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232808180004 + 213832129 = 482502^2 + 14623^2 .

It is a cyclic number.

It is not a de Polignac number, because 233022012133 - 25 = 233022012101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233022012163) 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, 116511006066 + 116511006067.

It is an arithmetic number, because the mean of its divisors is an integer number (116511006067).

Almost surely, 2233022012133 is an apocalyptic number.

It is an amenable number.

233022012133 is a deficient number, since it is larger than the sum of its proper divisors (1).

233022012133 is an equidigital number, since it uses as much as digits as its factorization.

233022012133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 233022012133 its reverse (331210220332), we get a palindrome (564232232465).

The spelling of 233022012133 in words is "two hundred thirty-three billion, twenty-two million, twelve thousand, one hundred thirty-three".