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20420104200 = 23352172117763
BaseRepresentation
bin10011000001001000…
…100001000000001000
31221201010000202212120
4103001020201000020
5313310021313300
613214133411240
71322013010326
oct230110410010
957633022776
1020420104200
118729686581
123b5a799b20
131c05737bc2
14dba000d16
157e7aa13a0
hex4c1221008

20420104200 has 144 divisors (see below), whose sum is σ = 67245599280. Its totient is φ = 5125002240.

The previous prime is 20420104169. The next prime is 20420104249. The reversal of 20420104200 is 240102402.

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 20420104200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114519 + ... + 232281.

Almost surely, 220420104200 is an apocalyptic number.

20420104200 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 20420104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33622799640).

20420104200 is an abundant number, since it is smaller than the sum of its proper divisors (46825495080).

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

20420104200 is a wasteful number, since it uses less digits than its factorization.

20420104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117816 (or 117790 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20420104200 its reverse (240102402), we get a palindrome (20660206602).

The spelling of 20420104200 in words is "twenty billion, four hundred twenty million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 289 300 340 408 425 510 578 600 680 850 867 1020 1156 1275 1445 1700 1734 2040 2312 2550 2890 3400 3468 4335 5100 5780 6936 7225 8670 10200 11560 14450 17340 21675 28900 34680 43350 57800 86700 117763 173400 235526 353289 471052 588815 706578 942104 1177630 1413156 1766445 2001971 2355260 2826312 2944075 3532890 4003942 4710520 5888150 6005913 7065780 8007884 8832225 10009855 11776300 12011826 14131560 16015768 17664450 20019710 23552600 24023652 30029565 34033507 35328900 40039420 48047304 50049275 60059130 68067014 70657800 80078840 100098550 102100521 120118260 136134028 150147825 170167535 200197100 204201042 240236520 272268056 300295650 340335070 400394200 408402084 510502605 600591300 680670140 816804168 850837675 1021005210 1201182600 1361340280 1701675350 2042010420 2552513025 3403350700 4084020840 5105026050 6806701400 10210052100 20420104200