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2012213000 = 235372631093
BaseRepresentation
bin111011111101111…
…1110111100001000
312012020100000022102
41313323332330020
513110111304000
6531400412532
7100602346130
oct16773767410
95166300272
102012213000
11942929456
12481a77148
13260b622a5
14151357ac0
15bb9c63d5
hex77efef08

2012213000 has 128 divisors (see below), whose sum is σ = 5406635520. Its totient is φ = 686649600.

The previous prime is 2012212991. The next prime is 2012213011. The reversal of 2012213000 is 3122102.

It is a happy number.

2012213000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1840454 + ... + 1841546.

It is an arithmetic number, because the mean of its divisors is an integer number (42239340).

Almost surely, 22012213000 is an apocalyptic number.

2012213000 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 2012213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703317760).

2012213000 is an abundant number, since it is smaller than the sum of its proper divisors (3394422520).

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

2012213000 is a wasteful number, since it uses less digits than its factorization.

2012213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2012213000 is about 44857.6972213242. The cubic root of 2012213000 is about 1262.4804166488.

Adding to 2012213000 its reverse (3122102), we get a palindrome (2015335102).

The spelling of 2012213000 in words is "two billion, twelve million, two hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 263 280 350 500 526 700 875 1000 1052 1093 1315 1400 1750 1841 2104 2186 2630 3500 3682 4372 5260 5465 6575 7000 7364 7651 8744 9205 10520 10930 13150 14728 15302 18410 21860 26300 27325 30604 32875 36820 38255 43720 46025 52600 54650 61208 65750 73640 76510 92050 109300 131500 136625 153020 184100 191275 218600 230125 263000 273250 287459 306040 368200 382550 460250 546500 574918 765100 920500 956375 1093000 1149836 1437295 1530200 1841000 1912750 2012213 2299672 2874590 3825500 4024426 5749180 7186475 7651000 8048852 10061065 11498360 14372950 16097704 20122130 28745900 35932375 40244260 50305325 57491800 71864750 80488520 100610650 143729500 201221300 251526625 287459000 402442600 503053250 1006106500 2012213000