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232033000273 is a prime number
BaseRepresentation
bin1101100000011000111…
…1101001101101010001
3211011220210000200221221
43120012033221231101
512300200422002043
6254332224245041
722522664650234
oct3300617515521
9734823020857
10232033000273
118a44a641448
1238b77470781
1318b5a9440c9
14b33253541b
1560807cd8ed
hex36063e9b51

232033000273 has 2 divisors, whose sum is σ = 232033000274. Its totient is φ = 232033000272.

The previous prime is 232033000207. The next prime is 232033000319. The reversal of 232033000273 is 372000330232.

It is a happy number.

232033000273 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., 214320850704 + 17712149569 = 462948^2 + 133087^2 .

It is a cyclic number.

It is not a de Polignac number, because 232033000273 - 29 = 232032999761 is a prime.

It is not a weakly prime, because it can be changed into another prime (232033000673) 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, 116016500136 + 116016500137.

It is an arithmetic number, because the mean of its divisors is an integer number (116016500137).

Almost surely, 2232033000273 is an apocalyptic number.

It is an amenable number.

232033000273 is a deficient number, since it is larger than the sum of its proper divisors (1).

232033000273 is an equidigital number, since it uses as much as digits as its factorization.

232033000273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 25.

The spelling of 232033000273 in words is "two hundred thirty-two billion, thirty-three million, two hundred seventy-three", and thus it is an aban number.