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201044403200 = 2105215750021
BaseRepresentation
bin1011101100111100101…
…1100010010000000000
3201012221010111212100102
42323033023202100000
511243214331400300
6232205235141532
720345032142204
oct2731713422000
9635833455312
10201044403200
1178298362843
1232b694448a8
1315c5c805134
149a32aaab04
155369ec70d5
hex2ecf2e2400

201044403200 has 132 divisors (see below), whose sum is σ = 501530876532. Its totient is φ = 79903948800.

The previous prime is 201044403169. The next prime is 201044403227. The reversal of 201044403200 is 2304440102.

It can be written as a sum of positive squares in 6 ways, for example, as 4533059584 + 196511343616 = 67328^2 + 443296^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3994190 + ... + 4044210.

Almost surely, 2201044403200 is an apocalyptic number.

201044403200 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 201044403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250765438266).

201044403200 is an abundant number, since it is smaller than the sum of its proper divisors (300486473332).

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

201044403200 is a wasteful number, since it uses less digits than its factorization.

201044403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50208 (or 50185 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 201044403200 its reverse (2304440102), we get a palindrome (203348843302).

The spelling of 201044403200 in words is "two hundred one billion, forty-four million, four hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 157 160 200 256 314 320 400 512 628 640 785 800 1024 1256 1280 1570 1600 2512 2560 3140 3200 3925 5024 5120 6280 6400 7850 10048 12560 12800 15700 20096 25120 25600 31400 40192 50021 50240 62800 80384 100042 100480 125600 160768 200084 200960 250105 251200 400168 401920 500210 502400 800336 803840 1000420 1004800 1250525 1600672 2000840 2009600 2501050 3201344 4001680 4019200 5002100 6402688 7853297 8003360 10004200 12805376 15706594 16006720 20008400 25610752 31413188 32013440 39266485 40016800 51221504 62826376 64026880 78532970 80033600 125652752 128053760 157065940 160067200 196332425 251305504 256107520 314131880 320134400 392664850 502611008 628263760 640268800 785329700 1005222016 1256527520 1280537600 1570659400 2010444032 2513055040 3141318800 4020888064 5026110080 6282637600 8041776128 10052220160 12565275200 20104440320 25130550400 40208880640 50261100800 100522201600 201044403200