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20321113320 = 23325192970923
BaseRepresentation
bin10010111011001110…
…111001010011101000
31221110012202111220200
4102323032321103220
5313104201111240
613200235552200
71316401420224
oct227316712350
957405674820
1020321113320
118688814232
123b315bb660
131bbb088811
14daabd3784
157de04a930
hex4bb3b94e8

20321113320 has 96 divisors (see below), whose sum is σ = 69519621600. Its totient is φ = 5133753216.

The previous prime is 20321113289. The next prime is 20321113411. The reversal of 20321113320 is 2331112302.

20321113320 is a `hidden beast` number, since 2 + 0 + 321 + 11 + 332 + 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 = 20321113293 and 20321113302.

It is an unprimeable number.

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, 1478622 + ... + 1492301.

It is an arithmetic number, because the mean of its divisors is an integer number (724162725).

Almost surely, 220321113320 is an apocalyptic number.

20321113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20321113320 is an abundant number, since it is smaller than the sum of its proper divisors (49198508280).

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

20321113320 is a wasteful number, since it uses less digits than its factorization.

20321113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970959 (or 2970952 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20321113320 its reverse (2331112302), we get a palindrome (22652225622).

The spelling of 20321113320 in words is "twenty billion, three hundred twenty-one million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 2970923 5941846 8912769 11883692 14854615 17825538 23767384 26738307 29709230 35651076 44563845 53476614 56447537 59418460 71302152 89127690 106953228 112895074 118836920 133691535 169342611 178255380 213906456 225790148 267383070 282237685 338685222 356510760 451580296 508027833 534766140 564475370 677370444 846713055 1016055666 1069532280 1128950740 1354740888 1693426110 2032111332 2257901480 2540139165 3386852220 4064222664 5080278330 6773704440 10160556660 20321113320