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20132100320 = 255472939137
BaseRepresentation
bin10010101111111101…
…110111100011100000
31220222001002122211012
4102233331313203200
5312212304202240
613125404440052
71311615013013
oct225775674340
956861078735
1020132100320
1185a1055a42
123a9a249028
131b8ab7a3c7
14d8da7137a
157cc661b65
hex4aff778e0

20132100320 has 96 divisors (see below), whose sum is σ = 48745162368. Its totient is φ = 7853744128.

The previous prime is 20132100319. The next prime is 20132100341. The reversal of 20132100320 is 2300123102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20132100295 and 20132100304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2198792 + ... + 2207928.

It is an arithmetic number, because the mean of its divisors is an integer number (507762108).

Almost surely, 220132100320 is an apocalyptic number.

20132100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24372581184).

20132100320 is an abundant number, since it is smaller than the sum of its proper divisors (28613062048).

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

20132100320 is a wasteful number, since it uses less digits than its factorization.

20132100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20132100320 its reverse (2300123102), we get a palindrome (22432223422).

The spelling of 20132100320 in words is "twenty billion, one hundred thirty-two million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 293 376 470 586 752 940 1172 1465 1504 1880 2344 2930 3760 4688 5860 7520 9137 9376 11720 13771 18274 23440 27542 36548 45685 46880 55084 68855 73096 91370 110168 137710 146192 182740 220336 275420 292384 365480 429439 440672 550840 730960 858878 1101680 1461920 1717756 2147195 2203360 2677141 3435512 4294390 5354282 6871024 8588780 10708564 13385705 13742048 17177560 21417128 26771410 34355120 42834256 53542820 68710240 85668512 107085640 125825627 214171280 251651254 428342560 503302508 629128135 1006605016 1258256270 2013210032 2516512540 4026420064 5033025080 10066050160 20132100320