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2000201033200 = 2452107166928001
BaseRepresentation
bin11101000110110101010…
…001011010010111110000
321002012212110010101200011
4131012311101122113300
5230232402431030300
64130514001504304
7264336563154466
oct35066521322760
97065773111604
102000201033200
1170130a37a027
1228379b342094
131168060c0a26
146cb4b460836
153706a98ceba
hex1d1b545a5f0

2000201033200 has 120 divisors (see below), whose sum is σ = 4853473531920. Its totient is φ = 792099840000.

The previous prime is 2000201033167. The next prime is 2000201033213. The reversal of 2000201033200 is 23301020002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71419200 + ... + 71447200.

It is an arithmetic number, because the mean of its divisors is an integer number (40445612766).

Almost surely, 22000201033200 is an apocalyptic number.

2000201033200 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 2000201033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426736765960).

2000201033200 is an abundant number, since it is smaller than the sum of its proper divisors (2853272498720).

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

2000201033200 is a wasteful number, since it uses less digits than its factorization.

2000201033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29795 (or 29784 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 2000201033200 its reverse (23301020002), we get a palindrome (2023502053202).

The spelling of 2000201033200 in words is "two trillion, two hundred one million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 400 428 535 856 1070 1669 1712 2140 2675 3338 4280 5350 6676 8345 8560 10700 13352 16690 21400 26704 28001 33380 41725 42800 56002 66760 83450 112004 133520 140005 166900 178583 224008 280010 333800 357166 448016 560020 667600 700025 714332 892915 1120040 1400050 1428664 1785830 2240080 2800100 2857328 2996107 3571660 4464575 5600200 5992214 7143320 8929150 11200400 11984428 14286640 14980535 17858300 23968856 29961070 35716600 46733669 47937712 59922140 71433200 74902675 93467338 119844280 149805350 186934676 233668345 239688560 299610700 373869352 467336690 599221400 747738704 934673380 1168341725 1198442800 1869346760 2336683450 3738693520 4673366900 5000502583 9346733800 10001005166 18693467600 20002010332 25002512915 40004020664 50005025830 80008041328 100010051660 125012564575 200020103320 250025129150 400040206640 500050258300 1000100516600 2000201033200