Search a number
-
+
2012034302020 = 2253726328136791
BaseRepresentation
bin11101010001110110100…
…101110000000001000100
321010100102010111201211201
4131101312211300001010
5230431121240131040
64140152113512244
7265236041245501
oct35216645600104
97110363451751
102012034302020
11706331a01036
12285b42272684
13117970849042
146d550c7a4a8
153750e776a9a
hex1d476970044

2012034302020 has 96 divisors (see below), whose sum is σ = 4371588942336. Its totient is φ = 777287347200.

The previous prime is 2012034301993. The next prime is 2012034302051. The reversal of 2012034302020 is 202034302102.

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, 54669825 + ... + 54706615.

It is an arithmetic number, because the mean of its divisors is an integer number (45537384816).

Almost surely, 22012034302020 is an apocalyptic number.

2012034302020 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 2012034302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185794471168).

2012034302020 is an abundant number, since it is smaller than the sum of its proper divisors (2359554640316).

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

2012034302020 is a wasteful number, since it uses less digits than its factorization.

2012034302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37381 (or 37379 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 2012034302020 its reverse (202034302102), we get a palindrome (2214068604122).

The spelling of 2012034302020 in words is "two trillion, twelve billion, thirty-four million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 263 281 370 526 562 740 1052 1124 1315 1405 2630 2810 5260 5620 9731 10397 19462 20794 36791 38924 41588 48655 51985 73582 73903 97310 103970 147164 147806 183955 194620 207940 295612 367910 369515 735820 739030 1361267 1478060 2722534 2734411 5445068 5468822 6806335 9676033 10338271 10937644 13612670 13672055 19352066 20676542 27225340 27344110 38704132 41353084 48380165 51691355 54688220 96760330 103382710 193520660 206765420 358013221 382516027 716026442 765032054 1432052884 1530064108 1790066105 1912580135 2718965273 3580132210 3825160270 5437930546 7160264420 7650320540 10875861092 13594826365 27189652730 54379305460 100601715101 201203430202 402406860404 503008575505 1006017151010 2012034302020