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211302013200 = 24352176085011
BaseRepresentation
bin1100010011001010010…
…1001101100100010000
3202012102000000102221220
43010302211031210100
511430221303410300
6241023143245040
721160155322545
oct3046245154420
9665360012856
10211302013200
1181681528a83
1234b50749780
1316c0599aa55
14a32712abcc
15576a7bdda0
hex313294d910

211302013200 has 60 divisors (see below), whose sum is σ = 676870786128. Its totient is φ = 56347203200.

The previous prime is 211302013129. The next prime is 211302013207. The reversal of 211302013200 is 2310203112.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211302013200.

It is not an unprimeable number, because it can be changed into a prime (211302013207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88041306 + ... + 88043705.

Almost surely, 2211302013200 is an apocalyptic number.

211302013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211302013200 is an abundant number, since it is smaller than the sum of its proper divisors (465568772928).

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

211302013200 is a wasteful number, since it uses less digits than its factorization.

211302013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176085032 (or 176085021 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 211302013200 its reverse (2310203112), we get a palindrome (213612216312).

The spelling of 211302013200 in words is "two hundred eleven billion, three hundred two million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 176085011 352170022 528255033 704340044 880425055 1056510066 1408680088 1760850110 2113020132 2641275165 2817360176 3521700220 4226040264 4402125275 5282550330 7043400440 8452080528 8804250550 10565100660 13206375825 14086800880 17608501100 21130201320 26412751650 35217002200 42260402640 52825503300 70434004400 105651006600 211302013200