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20201100320 = 255672776803
BaseRepresentation
bin10010110100000101…
…000101010000100000
31221010211221020000202
4102310011011100200
5312332440202240
613140311404332
71313413343132
oct226405052040
957124836022
1020201100320
118626aa3735
123ab93836a8
131b9c2589cb
14d98cb3052
157d3741315
hex4b4145420

20201100320 has 96 divisors (see below), whose sum is σ = 48619424448. Its totient is φ = 7929934848.

The previous prime is 20201100317. The next prime is 20201100331. The reversal of 20201100320 is 2300110202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2966039 + ... + 2972841.

It is an arithmetic number, because the mean of its divisors is an integer number (506452338).

Almost surely, 220201100320 is an apocalyptic number.

20201100320 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 20201100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24309712224).

20201100320 is an abundant number, since it is smaller than the sum of its proper divisors (28418324128).

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

20201100320 is a wasteful number, since it uses less digits than its factorization.

20201100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7162 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 20201100320 its reverse (2300110202), we get a palindrome (22501210522).

The spelling of 20201100320 in words is "twenty billion, two hundred one million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 277 335 536 554 670 1072 1108 1340 1385 2144 2216 2680 2770 4432 5360 5540 6803 8864 10720 11080 13606 18559 22160 27212 34015 37118 44320 54424 68030 74236 92795 108848 136060 148472 185590 217696 272120 296944 371180 455801 544240 593888 742360 911602 1088480 1484720 1823204 1884431 2279005 2969440 3646408 3768862 4558010 7292816 7537724 9116020 9422155 14585632 15075448 18232040 18844310 30150896 36464080 37688620 60301792 72928160 75377240 126256877 150754480 252513754 301508960 505027508 631284385 1010055016 1262568770 2020110032 2525137540 4040220064 5050275080 10100550160 20201100320