Search a number
-
+
131332020030333 = 32263260921266611
BaseRepresentation
bin11101110111001000011110…
…011001101100101101111101
3122020000012220021200211001100
4131313020132121230231331
5114203220434111432313
61143153032550003313
736443265613150233
oct3567103631545575
9566005807624040
10131332020030333
1138934662541101
1212891037946539
1358387303b2c25
14246070a182953
15102b3a9615173
hex77721e66cb7d

131332020030333 has 24 divisors (see below), whose sum is σ = 190496102322240. Its totient is φ = 87188337279360.

The previous prime is 131332020030311. The next prime is 131332020030427. The reversal of 131332020030333 is 333030020233131.

131332020030333 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 320 + 2 + 0 + 0 + 3 + 0 + 333 = 666.

It is not a de Polignac number, because 131332020030333 - 213 = 131332020022141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131332020030297 and 131332020030306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131332020034333) 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 23 ways as a sum of consecutive naturals, for example, 4457803 + ... + 16808808.

It is an arithmetic number, because the mean of its divisors is an integer number (7937337596760).

Almost surely, 2131332020030333 is an apocalyptic number.

It is an amenable number.

131332020030333 is a deficient number, since it is larger than the sum of its proper divisors (59164082291907).

131332020030333 is a wasteful number, since it uses less digits than its factorization.

131332020030333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21269489 (or 21269486 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 131332020030333 its reverse (333030020233131), we get a palindrome (464362040263464).

The spelling of 131332020030333 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, twenty million, thirty thousand, three hundred thirty-three".

Divisors: 1 3 9 263 789 2367 2609 7827 23481 686167 2058501 6175503 21266611 63799833 191399499 5593118693 16779356079 50338068237 55484588099 166453764297 499361292891 14592446670037 43777340010111 131332020030333