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2001200985 = 35571713841
BaseRepresentation
bin111011101000111…
…1110011101011001
312011110121112200000
41313101332131121
513044301412420
6530324403213
7100406633130
oct16721763531
95143545600
102001200985
11937697a13
1247a246509
1325b7a7bc4
1414dacc917
15baa4d690
hex7747e759

2001200985 has 96 divisors (see below), whose sum is σ = 4353253632. Its totient is φ = 860958720.

The previous prime is 2001200983. The next prime is 2001200989. The reversal of 2001200985 is 5890021002.

It is not a de Polignac number, because 2001200985 - 21 = 2001200983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2001200983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137665 + ... + 151505.

It is an arithmetic number, because the mean of its divisors is an integer number (45346392).

Almost surely, 22001200985 is an apocalyptic number.

It is an amenable number.

2001200985 is an abundant number, since it is smaller than the sum of its proper divisors (2352052647).

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

2001200985 is a wasteful number, since it uses less digits than its factorization.

2001200985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13885 (or 13873 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2001200985 is about 44734.7849553343. The cubic root of 2001200985 is about 1260.1731904791.

Adding to 2001200985 its reverse (5890021002), we get a palindrome (7891221987).

The spelling of 2001200985 in words is "two billion, one million, two hundred thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 243 255 315 357 405 459 567 595 765 945 1071 1215 1377 1701 1785 2295 2835 3213 4131 5355 6885 8505 9639 13841 16065 20655 28917 41523 48195 69205 96887 124569 144585 207615 235297 290661 373707 484435 622845 705891 871983 1121121 1176485 1453305 1647079 1868535 2117673 2615949 3363363 3529455 4359915 4941237 5605605 6353019 7847847 8235395 10588365 13079745 14823711 16816815 19059057 23543541 24706185 31765095 39239235 44471133 57177171 74118555 95295285 117717705 133413399 222355665 285885855 400240197 667066995 2001200985