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32303013021 = 32237911231759
BaseRepresentation
bin11110000101011010…
…001101110010011101
310002101020211002022200
4132011122031302131
51012124032404041
622501221402113
72222333036346
oct360532156235
9102336732280
1032303013021
1112777232884
126316269339
13307a5537b6
1417c625d0cd
15c90de31b6
hex78568dc9d

32303013021 has 48 divisors (see below), whose sum is σ = 49376870400. Its totient is φ = 20308612896.

The previous prime is 32303013011. The next prime is 32303013157. The reversal of 32303013021 is 12031030323.

32303013021 is a `hidden beast` number, since 32 + 30 + 301 + 302 + 1 = 666.

It is not a de Polignac number, because 32303013021 - 219 = 32302488733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32303012985 and 32303013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32303013011) 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, 18363540 + ... + 18365298.

It is an arithmetic number, because the mean of its divisors is an integer number (1028684800).

Almost surely, 232303013021 is an apocalyptic number.

It is an amenable number.

32303013021 is a deficient number, since it is larger than the sum of its proper divisors (17073857379).

32303013021 is a wasteful number, since it uses less digits than its factorization.

32303013021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2987 counting only the distinct ones).

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

Adding to 32303013021 its reverse (12031030323), we get a palindrome (44334043344).

The spelling of 32303013021 in words is "thirty-two billion, three hundred three million, thirteen thousand, twenty-one".

Divisors: 1 3 9 23 69 79 207 237 711 1123 1759 1817 3369 5277 5451 10107 15831 16353 25829 40457 77487 88717 121371 138961 232461 266151 364113 416883 798453 1250649 1975357 2040491 3196103 5926071 6121473 9588309 17778213 18364419 28764927 45433211 136299633 156053203 408898899 468159609 1404478827 3589223669 10767671007 32303013021