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2012203300 = 2252172353971
BaseRepresentation
bin111011111101111…
…1100100100100100
312012020022112000011
41313323330210210
513110111001200
6531400300004
7100602305632
oct16773744444
95166275004
102012203300
11942922138
12481a71604
13260b5aa53
14151354352
15bb9c35ba
hex77efc924

2012203300 has 144 divisors (see below), whose sum is σ = 4920435072. Its totient is φ = 710195200.

The previous prime is 2012203241. The next prime is 2012203307. The reversal of 2012203300 is 33022102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2012203307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2071815 + ... + 2072785.

It is an arithmetic number, because the mean of its divisors is an integer number (34169688).

Almost surely, 22012203300 is an apocalyptic number.

2012203300 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 2012203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460217536).

2012203300 is an abundant number, since it is smaller than the sum of its proper divisors (2908231772).

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

2012203300 is a wasteful number, since it uses less digits than its factorization.

2012203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2012203300 is about 44857.5891015110. The cubic root of 2012203300 is about 1262.4783880233.

Adding to 2012203300 its reverse (33022102), we get a palindrome (2045225402).

The spelling of 2012203300 in words is "two billion, twelve million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 53 68 85 92 100 106 115 170 212 230 265 340 391 425 460 530 575 782 850 901 971 1060 1150 1219 1325 1564 1700 1802 1942 1955 2300 2438 2650 3604 3884 3910 4505 4855 4876 5300 6095 7820 9010 9710 9775 12190 16507 18020 19420 19550 20723 22333 22525 24275 24380 30475 33014 39100 41446 44666 45050 48550 51463 60950 66028 82535 82892 89332 90100 97100 102926 103615 111665 121900 165070 205852 207230 223330 257315 330140 379661 412675 414460 446660 514630 518075 558325 759322 825350 874871 1029260 1036150 1116650 1183649 1286575 1518644 1650700 1749742 1898305 2072300 2233300 2367298 2573150 3499484 3796610 4374355 4734596 5146300 5918245 7593220 8748710 9491525 11836490 17497420 18983050 20122033 21871775 23672980 29591225 37966100 40244066 43743550 59182450 80488132 87487100 100610165 118364900 201220330 402440660 503050825 1006101650 2012203300