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21330032031 = 32711231338229
BaseRepresentation
bin10011110111010111…
…100111010110011111
32001001112012220012100
4103313113213112133
5322140442011111
613444320340143
71353402165210
oct236727472637
961045186170
1021330032031
119056279850
124173474653
13201c0c9339
141064bc3407
1584c8de756
hex4f75e759f

21330032031 has 48 divisors (see below), whose sum is σ = 40082664960. Its totient is φ = 10598765760.

The previous prime is 21330032027. The next prime is 21330032033. The reversal of 21330032031 is 13023003312.

21330032031 is a `hidden beast` number, since 2 + 13 + 300 + 320 + 31 = 666.

It is not a de Polignac number, because 21330032031 - 22 = 21330032027 is a prime.

It is a super-2 number, since 2×213300320312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21330031995 and 21330032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330032033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653176 + ... + 685053.

It is an arithmetic number, because the mean of its divisors is an integer number (835055520).

Almost surely, 221330032031 is an apocalyptic number.

21330032031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21330032031 is a deficient number, since it is larger than the sum of its proper divisors (18752632929).

21330032031 is a wasteful number, since it uses less digits than its factorization.

21330032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338276 (or 1338273 counting only the distinct ones).

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

Adding to 21330032031 its reverse (13023003312), we get a palindrome (34353035343).

The spelling of 21330032031 in words is "twenty-one billion, three hundred thirty million, thirty-two thousand, thirty-one".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 161 207 231 253 483 693 759 1449 1771 2277 5313 15939 1338229 4014687 9367603 12044061 14720519 28102809 30779267 44161557 84308427 92337801 103043633 132484671 215454869 277013403 309130899 338571937 646364607 927392697 1015715811 1939093821 2370003559 3047147433 7110010677 21330032031