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231240430233 = 33172109271879
BaseRepresentation
bin1101011101011100000…
…0001111001010011001
3211002212112122222021000
43113113000033022121
512242040022231413
6254121432535213
722464232140351
oct3272700171231
9732775588230
10231240430233
118a08321588a
1238995b51509
1318a62693057
14b299181b61
156035e23073
hex35d700f299

231240430233 has 48 divisors (see below), whose sum is σ = 367255504000. Its totient is φ = 143760386304.

The previous prime is 231240430193. The next prime is 231240430237. The reversal of 231240430233 is 332034042132.

231240430233 is a `hidden beast` number, since 2 + 312 + 40 + 4 + 302 + 3 + 3 = 666.

231240430233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231240430233 - 226 = 231173321369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 231240430197 and 231240430206.

It is not an unprimeable number, because it can be changed into a prime (231240430237) 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 47 ways as a sum of consecutive naturals, for example, 714588 + ... + 986466.

Almost surely, 2231240430233 is an apocalyptic number.

It is an amenable number.

231240430233 is a deficient number, since it is larger than the sum of its proper divisors (136015073767).

231240430233 is a wasteful number, since it uses less digits than its factorization.

231240430233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272031 (or 272008 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 231240430233 its reverse (332034042132), we get a palindrome (563274472365).

The spelling of 231240430233 in words is "two hundred thirty-one billion, two hundred forty million, four hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 17 27 51 109 153 289 327 459 867 981 1853 2601 2943 5559 7803 16677 31501 50031 94503 271879 283509 815637 850527 2446911 4621943 7340733 13865829 29634811 41597487 78573031 88904433 124792461 235719093 266713299 503791787 707157279 800139897 1511375361 2121471837 4534126083 8564460379 13602378249 25693381137 77080143411 231240430233