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201010300200 = 233252111672389
BaseRepresentation
bin1011101100110100100…
…1011100010100101000
3201012211202100020211100
42323031021130110220
511243132114101300
6232202020201400
720344136234433
oct2731511342450
9635752306740
10201010300200
117828008a746
1232b59b39260
1315c55724748
149a2c35081a
155366edc700
hex2ecd25c528

201010300200 has 72 divisors (see below), whose sum is σ = 675059597550. Its totient is φ = 53602746240.

The previous prime is 201010300199. The next prime is 201010300207. The reversal of 201010300200 is 2003010102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 75307434084 + 125702866116 = 274422^2 + 354546^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201010300207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55834395 + ... + 55837994.

Almost surely, 2201010300200 is an apocalyptic number.

201010300200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010300200 is an abundant number, since it is smaller than the sum of its proper divisors (474049297350).

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

201010300200 is a wasteful number, since it uses less digits than its factorization.

201010300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111672411 (or 111672399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 201010300200 its reverse (2003010102), we get a palindrome (203013310302).

The spelling of 201010300200 in words is "two hundred one billion, ten million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 111672389 223344778 335017167 446689556 558361945 670034334 893379112 1005051501 1116723890 1340068668 1675085835 2010103002 2233447780 2680137336 2791809725 3350171670 4020206004 4466895560 5025257505 5583619450 6700343340 8040412008 8375429175 10050515010 11167238900 13400686680 16750858350 20101030020 22334477800 25126287525 33501716700 40202060040 50252575050 67003433400 100505150100 201010300200