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2011230100 = 2252116832677
BaseRepresentation
bin111011111100000…
…1110111110010100
312012011111002000201
41313320032332110
513104333330400
6531323350244
7100561113415
oct16770167624
95164432021
102011230100
11942317a40
12481682384
132608a9aa9
1415117d80c
15bb88006a
hex77e0ef94

2011230100 has 72 divisors (see below), whose sum is σ = 4769882208. Its totient is φ = 730012800.

The previous prime is 2011230083. The next prime is 2011230223. The reversal of 2011230100 is 10321102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749962 + ... + 752638.

It is an arithmetic number, because the mean of its divisors is an integer number (66248364).

Almost surely, 22011230100 is an apocalyptic number.

2011230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384941104).

2011230100 is an abundant number, since it is smaller than the sum of its proper divisors (2758652108).

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

2011230100 is a wasteful number, since it uses less digits than its factorization.

2011230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2011230100 is about 44846.7401267918. The cubic root of 2011230100 is about 1262.2748230890.

Adding to 2011230100 its reverse (10321102), we get a palindrome (2021551202).

The spelling of 2011230100 in words is "two billion, eleven million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 683 1100 1366 2677 2732 3415 5354 6830 7513 10708 13385 13660 15026 17075 26770 29447 30052 34150 37565 53540 58894 66925 68300 75130 117788 133850 147235 150260 187825 267700 294470 375650 588940 736175 751300 1472350 1828391 2944700 3656782 7313564 9141955 18283910 20112301 36567820 40224602 45709775 80449204 91419550 100561505 182839100 201123010 402246020 502807525 1005615050 2011230100