Search a number
-
+
232213320301 = 8317918186353
BaseRepresentation
bin1101100001000011111…
…1100001001001101101
3211012101100022220112111
43120100333201021231
512301033102222201
6254402145204021
722530314440504
oct3302077411155
9735340286474
10232213320301
118a532402566
1239007930611
1318b890ca851
14b34c47383b
15609154bb51
hex3610fe126d

232213320301 has 16 divisors (see below), whose sum is σ = 237632391360. Its totient is φ = 226870882560.

The previous prime is 232213320289. The next prime is 232213320347. The reversal of 232213320301 is 103023312232.

232213320301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 232213320301 - 227 = 232079102573 is a prime.

It is a super-2 number, since 2×2322133203012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213320371) 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 15 ways as a sum of consecutive naturals, for example, 2645941 + ... + 2732293.

It is an arithmetic number, because the mean of its divisors is an integer number (14852024460).

Almost surely, 2232213320301 is an apocalyptic number.

It is an amenable number.

232213320301 is a deficient number, since it is larger than the sum of its proper divisors (5419071059).

232213320301 is a wasteful number, since it uses less digits than its factorization.

232213320301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86796.

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

Adding to 232213320301 its reverse (103023312232), we get a palindrome (335236632533).

The spelling of 232213320301 in words is "two hundred thirty-two billion, two hundred thirteen million, three hundred twenty thousand, three hundred one".

Divisors: 1 83 179 181 14857 15023 32399 86353 2689117 7167299 15457187 15629893 1282946521 1297281119 2797750847 232213320301