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2002011100 = 225224183071
BaseRepresentation
bin111011101010100…
…0100001111011100
312011112010200221021
41313111010033130
513100003323400
6530354013524
7100416546025
oct16725041734
95145120837
102002011100
119380a0631
1247a5772a4
1325b9cc86b
1414dc5dc4c
15bab5d71a
hex775443dc

2002011100 has 36 divisors (see below), whose sum is σ = 4362443008. Its totient is φ = 797472000.

The previous prime is 2002011097. The next prime is 2002011101. The reversal of 2002011100 is 11102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17436 + ... + 65635.

Almost surely, 22002011100 is an apocalyptic number.

2002011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002011100 is an abundant number, since it is smaller than the sum of its proper divisors (2360431908).

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

2002011100 is a wasteful number, since it uses less digits than its factorization.

2002011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83326 (or 83319 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2002011100 is about 44743.8386819906. The cubic root of 2002011100 is about 1260.3432129617.

Adding to 2002011100 its reverse (11102002), we get a palindrome (2013113102).

The spelling of 2002011100 in words is "two billion, two million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 83071 166142 332284 415355 830710 1661420 2076775 4153550 8307100 20020111 40040222 80080444 100100555 200201110 400402220 500502775 1001005550 2002011100