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32320213020 = 22325533387863
BaseRepresentation
bin11110000110011011…
…110101000000011100
310002102110011221021200
4132012123311000130
51012142433304040
622503034155500
72222632164204
oct360633650034
9102373157250
1032320213020
1112785a10457
12631bb82b90
133080c96604
1417c8659404
15c9268e630
hex7866f501c

32320213020 has 72 divisors (see below), whose sum is σ = 99887782176. Its totient is φ = 8456103552.

The previous prime is 32320213007. The next prime is 32320213021. The reversal of 32320213020 is 2031202323.

It is a happy number.

32320213020 is a `hidden beast` number, since 323 + 20 + 21 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32320212984 and 32320213002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32320213021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1684392 + ... + 1703471.

It is an arithmetic number, because the mean of its divisors is an integer number (1387330308).

Almost surely, 232320213020 is an apocalyptic number.

32320213020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32320213020 is an abundant number, since it is smaller than the sum of its proper divisors (67567569156).

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

32320213020 is a wasteful number, since it uses less digits than its factorization.

32320213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387931 (or 3387926 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32320213020 its reverse (2031202323), we get a palindrome (34351415343).

The spelling of 32320213020 in words is "thirty-two billion, three hundred twenty million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 3387863 6775726 10163589 13551452 16939315 20327178 30490767 33878630 40654356 50817945 60981534 67757260 101635890 121963068 152453835 179556739 203271780 304907670 359113478 538670217 609815340 718226956 897783695 1077340434 1616010651 1795567390 2154680868 2693351085 3232021302 3591134780 5386702170 6464042604 8080053255 10773404340 16160106510 32320213020