Search a number
-
+
2012121330 = 2354114910979
BaseRepresentation
bin111011111101110…
…1000100011110010
312012020011100120020
41313323220203302
513110100340310
6531354424310
7100601514642
oct16773504362
95166140506
102012121330
1194287659a
12481a32096
13260b2c64b
14151332522
15bb9a9170
hex77ee88f2

2012121330 has 64 divisors (see below), whose sum is σ = 4980528000. Its totient is φ = 519918080.

The previous prime is 2012121323. The next prime is 2012121367. The reversal of 2012121330 is 331212102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 177781 + ... + 188759.

It is an arithmetic number, because the mean of its divisors is an integer number (77820750).

Almost surely, 22012121330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490264000).

2012121330 is an abundant number, since it is smaller than the sum of its proper divisors (2968406670).

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

2012121330 is a wasteful number, since it uses less digits than its factorization.

2012121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11179.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2012121330 is about 44856.6754229513. The cubic root of 2012121330 is about 1262.4612448320.

Adding to 2012121330 its reverse (331212102), we get a palindrome (2343333432).

The spelling of 2012121330 in words is "two billion, twelve million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 149 205 246 298 410 447 615 745 894 1230 1490 2235 4470 6109 10979 12218 18327 21958 30545 32937 36654 54895 61090 65874 91635 109790 164685 183270 329370 450139 900278 1350417 1635871 2250695 2700834 3271742 4501390 4907613 6752085 8179355 9815226 13504170 16358710 24538065 49076130 67070711 134141422 201212133 335353555 402424266 670707110 1006060665 2012121330