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2001290200 = 2352713109961
BaseRepresentation
bin111011101001001…
…0100001111011000
312011110210002001021
41313102110033120
513044312241300
6530330332224
7100410454210
oct16722241730
95143702037
102001290200
11937748a48
1247a28a074
1325b8096b0
1414db13240
15baa69d1a
hex774943d8

2001290200 has 96 divisors (see below), whose sum is σ = 5726820960. Its totient is φ = 633369600.

The previous prime is 2001290177. The next prime is 2001290233. The reversal of 2001290200 is 20921002.

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, 36781 + ... + 73180.

It is an arithmetic number, because the mean of its divisors is an integer number (59654385).

Almost surely, 22001290200 is an apocalyptic number.

2001290200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001290200 is an abundant number, since it is smaller than the sum of its proper divisors (3725530760).

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

2001290200 is a wasteful number, since it uses less digits than its factorization.

2001290200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109997 (or 109988 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2001290200 is about 44735.7820988971. The cubic root of 2001290200 is about 1260.1919166809.

The spelling of 2001290200 in words is "two billion, one million, two hundred ninety thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 109961 219922 439844 549805 769727 879688 1099610 1429493 1539454 2199220 2749025 2858986 3078908 3848635 4398440 5498050 5717972 6157816 7147465 7697270 10006451 10996100 11435944 14294930 15394540 19243175 20012902 21992200 28589860 30789080 35737325 38486350 40025804 50032255 57179720 71474650 76972700 80051608 100064510 142949300 153945400 200129020 250161275 285898600 400258040 500322550 1000645100 2001290200