Search a number
-
+
203312023231230 = 23353720351553877
BaseRepresentation
bin101110001110100101000100…
…111011000101101011111110
3222122212102212110122210101000
4232032211010323011223332
5203122031010421344410
62000224130513431130
760552544316265444
oct5616450473055376
9878772773583330
10203312023231230
1159866165864961
121a97729526b4a6
13895a31a827294
14382c4d67a6b94
15187892b7a0dc0
hexb8e944ec5afe

203312023231230 has 64 divisors (see below), whose sum is σ = 556818514102080. Its totient is φ = 52751227646592.

The previous prime is 203312023231199. The next prime is 203312023231259. The reversal of 203312023231230 is 32132320213302.

203312023231230 is a `hidden beast` number, since 2 + 0 + 3 + 312 + 0 + 2 + 3 + 2 + 312 + 30 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 203312023231194 and 203312023231203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10175766949 + ... + 10175786928.

It is an arithmetic number, because the mean of its divisors is an integer number (8700289282845).

Almost surely, 2203312023231230 is an apocalyptic number.

203312023231230 is an abundant number, since it is smaller than the sum of its proper divisors (353506490870850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203312023231230 is a wasteful number, since it uses less digits than its factorization.

203312023231230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20351553930 (or 20351553924 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 203312023231230 its reverse (32132320213302), we get a palindrome (235444343444532).

The spelling of 203312023231230 in words is "two hundred three trillion, three hundred twelve billion, twenty-three million, two hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 20351553877 40703107754 61054661631 101757769385 122109323262 183163984893 203515538770 305273308155 366327969786 549491954679 610546616310 753007493449 915819924465 1098983909358 1506014986898 1831639848930 2259022480347 2747459773395 3765037467245 4518044960694 5494919546790 6777067441041 7530074934490 11295112401735 13554134882082 20331202323123 22590224803470 33885337205205 40662404646246 67770674410410 101656011615615 203312023231230