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233023200101 is a prime number
BaseRepresentation
bin1101100100000101000…
…0111101101101100101
3211021110210021001202122
43121001100331231211
512304212414400401
6255014355515325
722556350343216
oct3310120755545
9737423231678
10233023200101
118a90858120a
12391b2bb8b45
1318c87b2c673
14b3c7c5140d
1560dc6c621b
hex364143db65

233023200101 has 2 divisors, whose sum is σ = 233023200102. Its totient is φ = 233023200100.

The previous prime is 233023200083. The next prime is 233023200131. The reversal of 233023200101 is 101002320332.

233023200101 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., 231552477601 + 1470722500 = 481199^2 + 38350^2 .

It is a cyclic number.

It is not a de Polignac number, because 233023200101 - 210 = 233023199077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233023200101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233023200131) 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, 116511600050 + 116511600051.

It is an arithmetic number, because the mean of its divisors is an integer number (116511600051).

Almost surely, 2233023200101 is an apocalyptic number.

It is an amenable number.

233023200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

233023200101 is an equidigital number, since it uses as much as digits as its factorization.

233023200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 233023200101 its reverse (101002320332), we get a palindrome (334025520433).

The spelling of 233023200101 in words is "two hundred thirty-three billion, twenty-three million, two hundred thousand, one hundred one".