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210010001211200 = 2652131256250757
BaseRepresentation
bin101111110000000011000011…
…100001010111111101000000
31000112120202112001220110222102
4233300003003201113331000
5210011300440302224300
62022353132423125532
762143502414610221
oct5760030341277500
91015522461813872
10210010001211200
1160a08817809373
121b6794185a38a8
139024b20439c48
1439c077710d248
151942c9702e0d5
hexbf00c3857f40

210010001211200 has 42 divisors (see below), whose sum is σ = 516755859234246. Its totient is φ = 84004000483840.

The previous prime is 210010001211163. The next prime is 210010001211209. The reversal of 210010001211200 is 2112100010012.

It can be written as a sum of positive squares in 3 ways, for example, as 1851820185856 + 208158181025344 = 1360816^2 + 14427688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210010001211209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65628123779 + ... + 65628126978.

Almost surely, 2210010001211200 is an apocalyptic number.

210010001211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010001211200 is an abundant number, since it is smaller than the sum of its proper divisors (306745858023046).

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

210010001211200 is a wasteful number, since it uses less digits than its factorization.

210010001211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131256250779 (or 131256250764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210010001211200 its reverse (2112100010012), we get a palindrome (212122101221212).

The spelling of 210010001211200 in words is "two hundred ten trillion, ten billion, one million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 131256250757 262512501514 525025003028 656281253785 1050050006056 1312562507570 2100100012112 2625125015140 3281406268925 4200200024224 5250250030280 6562812537850 8400400048448 10500500060560 13125625075700 21001000121120 26251250151400 42002000242240 52502500302800 105005000605600 210010001211200