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2012243202420 = 22351119791540603
BaseRepresentation
bin11101010010000011000…
…010101001000101110100
321010100221200120222022120
4131102003002221011310
5230432033224434140
64140224535155540
7265244156002533
oct35220302510564
97110850528276
102012243202420
11706429912aa0
12285ba0215bb0
131179a4bcb549
146d5708d831a
1537522c8d1d0
hex1d4830a9174

2012243202420 has 96 divisors (see below), whose sum is σ = 6149598174720. Its totient is φ = 487569720960.

The previous prime is 2012243202371. The next prime is 2012243202443. The reversal of 2012243202420 is 242023422102.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 535839 + ... + 2076441.

It is an arithmetic number, because the mean of its divisors is an integer number (64058314320).

Almost surely, 22012243202420 is an apocalyptic number.

2012243202420 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 2012243202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074799087360).

2012243202420 is an abundant number, since it is smaller than the sum of its proper divisors (4137354972300).

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

2012243202420 is a wasteful number, since it uses less digits than its factorization.

2012243202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542605 (or 1542603 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2012243202420 its reverse (242023422102), we get a palindrome (2254266624522).

The spelling of 2012243202420 in words is "two trillion, twelve billion, two hundred forty-three million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1979 3958 5937 7916 9895 11874 19790 21769 23748 29685 39580 43538 59370 65307 87076 108845 118740 130614 217690 261228 326535 435380 653070 1306140 1540603 3081206 4621809 6162412 7703015 9243618 15406030 16946633 18487236 23109045 30812060 33893266 46218090 50839899 67786532 84733165 92436180 101679798 169466330 203359596 254199495 338932660 508398990 1016797980 3048853337 6097706674 9146560011 12195413348 15244266685 18293120022 30488533370 33537386707 36586240044 45732800055 60977066740 67074773414 91465600110 100612160121 134149546828 167686933535 182931200220 201224320242 335373867070 402448640484 503060800605 670747734140 1006121601210 2012243202420