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232121000233 = 1972609451621
BaseRepresentation
bin1101100000101101111…
…1010110000100101001
3211012010220121120012201
43120023133112010221
512300340434001413
6254345050340201
722525113643003
oct3301337260451
9735126546181
10232121000233
118a495287091
1238ba0a2a661
1318b72c458a5
14b3400c1373
1560883b29dd
hex360b7d6129

232121000233 has 8 divisors (see below), whose sum is σ = 233389217160. Its totient is φ = 230853692160.

The previous prime is 232121000207. The next prime is 232121000281. The reversal of 232121000233 is 332000121232.

232121000233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56134877184 + 175986123049 = 236928^2 + 419507^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-232121000233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 232121000233.

It is not an unprimeable number, because it can be changed into a prime (232121009233) 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 in 7 ways as a sum of consecutive naturals, for example, 288163 + ... + 739783.

It is an arithmetic number, because the mean of its divisors is an integer number (29173652145).

Almost surely, 2232121000233 is an apocalyptic number.

It is an amenable number.

232121000233 is a deficient number, since it is larger than the sum of its proper divisors (1268216927).

232121000233 is a wasteful number, since it uses less digits than its factorization.

232121000233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454427.

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

Adding to 232121000233 its reverse (332000121232), we get a palindrome (564121121465).

The spelling of 232121000233 in words is "two hundred thirty-two billion, one hundred twenty-one million, two hundred thirty-three", and thus it is an aban number.

Divisors: 1 197 2609 451621 513973 88969337 1178279189 232121000233