Search a number
-
+
233031323321331 = 3421327135640149
BaseRepresentation
bin110100111111000011010101…
…001111111000001111110011
31010120002120120120221200110220
4310333003111033320033303
5221020441122232240311
62143341040111424123
7100040646300061503
oct6477032517701763
91116076516850426
10233031323321331
116828403599aaa7
1222177046825043
13a0049b4805192
144178ac1d83a03
151be1a2d481206
hexd3f0d53f83f3

233031323321331 has 16 divisors (see below), whose sum is σ = 311456031664800. Its totient is φ = 154980437955840.

The previous prime is 233031323321327. The next prime is 233031323321333. The reversal of 233031323321331 is 133123323130332.

It is not a de Polignac number, because 233031323321331 - 22 = 233031323321327 is a prime.

It is a super-2 number, since 2×2330313233213312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233031323321292 and 233031323321301.

It is not an unprimeable number, because it can be changed into a prime (233031323321333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38496445 + ... + 44136593.

It is an arithmetic number, because the mean of its divisors is an integer number (19466001979050).

Almost surely, 2233031323321331 is an apocalyptic number.

233031323321331 is a deficient number, since it is larger than the sum of its proper divisors (78424708343469).

233031323321331 is a wasteful number, since it uses less digits than its factorization.

233031323321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673286.

The product of its (nonzero) digits is 52488, while the sum is 33.

Adding to 233031323321331 its reverse (133123323130332), we get a palindrome (366154646451663).

The spelling of 233031323321331 in words is "two hundred thirty-three trillion, thirty-one billion, three hundred twenty-three million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 421 1263 32713 98139 5640149 13772173 16920447 41316519 2374502729 7123508187 184506194237 553518582711 77677107773777 233031323321331