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20020312320 = 283513073989
BaseRepresentation
bin10010101001010011…
…011011100100000000
31220200020202020111220
4102221103123210000
5312000144443240
613110332435040
71306056563331
oct225123334400
956606666456
1020020312320
118543a42a68
123a68918a80
131b7096a268
14d7cc92288
157c292e5d0
hex4a94db900

20020312320 has 144 divisors (see below), whose sum is σ = 64004834880. Its totient is φ = 5333327872.

The previous prime is 20020312309. The next prime is 20020312321. The reversal of 20020312320 is 2321302002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20020312320.

It is not an unprimeable number, because it can be changed into a prime (20020312321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5016886 + ... + 5020874.

It is an arithmetic number, because the mean of its divisors is an integer number (444478020).

Almost surely, 220020312320 is an apocalyptic number.

20020312320 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 20020312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32002417440).

20020312320 is an abundant number, since it is smaller than the sum of its proper divisors (43984522560).

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

20020312320 is a wasteful number, since it uses less digits than its factorization.

20020312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20020312320 its reverse (2321302002), we get a palindrome (22341614322).

The spelling of 20020312320 in words is "twenty billion, twenty million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1307 1920 2614 3840 3921 3989 5228 6535 7842 7978 10456 11967 13070 15684 15956 19605 19945 20912 23934 26140 31368 31912 39210 39890 41824 47868 52280 59835 62736 63824 78420 79780 83648 95736 104560 119670 125472 127648 156840 159560 167296 191472 209120 239340 250944 255296 313680 319120 334592 382944 418240 478680 501888 510592 627360 638240 765888 836480 957360 1003776 1021184 1254720 1276480 1531776 1672960 1914720 2509440 2552960 3063552 3829440 5018880 5105920 5213623 7658880 10427246 15317760 15640869 20854492 26068115 31281738 41708984 52136230 62563476 78204345 83417968 104272460 125126952 156408690 166835936 208544920 250253904 312817380 333671872 417089840 500507808 625634760 667343744 834179680 1001015616 1251269520 1334687488 1668359360 2002031232 2502539040 3336718720 4004062464 5005078080 6673437440 10010156160 20020312320