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2012103342 = 23423253443
BaseRepresentation
bin111011111101110…
…0100001010101110
312012020010102220000
41313323210022232
513110044301332
6531354205130
7100601411334
oct16773441256
95166112800
102012103342
11942864027
12481a237a6
13260b243c2
14151329b54
15bb9a3b7c
hex77ee42ae

2012103342 has 120 divisors (see below), whose sum is σ = 4812918264. Its totient is φ = 628014816.

The previous prime is 2012103283. The next prime is 2012103349. The reversal of 2012103342 is 2433012102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012103349) 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 59 ways as a sum of consecutive naturals, for example, 4541773 + ... + 4542215.

Almost surely, 22012103342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012103342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406459132).

2012103342 is an abundant number, since it is smaller than the sum of its proper divisors (2800814922).

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

2012103342 is a wasteful number, since it uses less digits than its factorization.

2012103342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2012103342 is about 44856.4749172291. The cubic root of 2012103342 is about 1262.4574827625.

Adding to 2012103342 its reverse (2433012102), we get a palindrome (4445115444).

The spelling of 2012103342 in words is "two billion, twelve million, one hundred three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 81 106 138 159 162 207 318 414 443 477 529 621 886 954 1058 1219 1242 1329 1431 1587 1863 2438 2658 2862 3174 3657 3726 3987 4293 4761 7314 7974 8586 9522 10189 10971 11961 14283 20378 21942 23479 23922 28037 28566 30567 32913 35883 42849 46958 56074 61134 65826 70437 71766 84111 85698 91701 98739 140874 168222 183402 197478 211311 234347 252333 275103 422622 468694 504666 540017 550206 633933 703041 756999 825309 1080034 1267866 1406082 1513998 1620051 1650618 1901799 2109123 2270997 3240102 3803598 4218246 4541994 4860153 6327369 9720306 12420391 12654738 14580459 18982107 24840782 29160918 37261173 37964214 43741377 74522346 87482754 111783519 223567038 335350557 670701114 1006051671 2012103342