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21332300031 = 327536388829
BaseRepresentation
bin10011110111100000…
…010001000011111111
32001001200111010022100
4103313200101003333
5322142032100111
613444441120143
71353430362360
oct236740210377
961050433270
1021332300031
119057588829
124174189053
13201c711753
141065213b67
1584cbdb756
hex4f78110ff

21332300031 has 24 divisors (see below), whose sum is σ = 35879669280. Its totient is φ = 11959886016.

The previous prime is 21332299999. The next prime is 21332300053. The reversal of 21332300031 is 13000323312.

21332300031 is a `hidden beast` number, since 2 + 1 + 332 + 300 + 0 + 31 = 666.

It is not a de Polignac number, because 21332300031 - 25 = 21332299999 is a prime.

It is a super-2 number, since 2×213323000312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21332299977 and 21332300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332300071) 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 23 ways as a sum of consecutive naturals, for example, 3191076 + ... + 3197753.

It is an arithmetic number, because the mean of its divisors is an integer number (1494986220).

Almost surely, 221332300031 is an apocalyptic number.

21332300031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21332300031 is a deficient number, since it is larger than the sum of its proper divisors (14547369249).

21332300031 is a wasteful number, since it uses less digits than its factorization.

21332300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388895 (or 6388892 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21332300031 its reverse (13000323312), we get a palindrome (34332623343).

The spelling of 21332300031 in words is "twenty-one billion, three hundred thirty-two million, three hundred thousand, thirty-one".

Divisors: 1 3 7 9 21 53 63 159 371 477 1113 3339 6388829 19166487 44721803 57499461 134165409 338607937 402496227 1015823811 2370255559 3047471433 7110766677 21332300031