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20101203200 = 285213241601
BaseRepresentation
bin10010101110001000…
…000000010100000000
31220212212221220221102
4102232020000110000
5312131402000300
613122342313532
71311061256651
oct225610002400
956785856842
1020101203200
118585672531
123a8ba288a8
131b8464cca0
14d8990b528
157c9aac0d5
hex4ae200500

20101203200 has 108 divisors (see below), whose sum is σ = 53581041948. Its totient is φ = 7421952000.

The previous prime is 20101203191. The next prime is 20101203217. The reversal of 20101203200 is 230210102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2541773056 + 17559430144 = 50416^2 + 132512^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37601 + ... + 204000.

Almost surely, 220101203200 is an apocalyptic number.

20101203200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101203200 is an abundant number, since it is smaller than the sum of its proper divisors (33479838748).

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

20101203200 is a wasteful number, since it uses less digits than its factorization.

20101203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241640 (or 241621 counting only the distinct ones).

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

Adding to 20101203200 its reverse (230210102), we get a palindrome (20331413302).

The spelling of 20101203200 in words is "twenty billion, one hundred one million, two hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2600 3200 3328 4160 5200 6400 8320 10400 16640 20800 41600 83200 241601 483202 966404 1208005 1932808 2416010 3140813 3865616 4832020 6040025 6281626 7731232 9664040 12080050 12563252 15462464 15704065 19328080 24160100 25126504 30924928 31408130 38656160 48320200 50253008 61849856 62816260 77312320 78520325 96640400 100506016 125632520 154624640 157040650 193280800 201012032 251265040 309249280 314081300 386561600 402024064 502530080 628162600 773123200 804048128 1005060160 1256325200 1546246400 2010120320 2512650400 4020240640 5025300800 10050601600 20101203200