Search a number
-
+
2010011120100 = 2237529190723
BaseRepresentation
bin11101001111111101111…
…111111011000111100100
321010011012010112110000000
4131033331333323013210
5230413000321320400
64135215242021300
7265134643423104
oct35177577730744
97104163473000
102010011120100
11705493970565
122856787a7830
1311770a646189
146d3dc2a9204
1537441d35600
hex1d3fdffb1e4

2010011120100 has 144 divisors (see below), whose sum is σ = 6541589714240. Its totient is φ = 536002907040.

The previous prime is 2010011120087. The next prime is 2010011120129. The reversal of 2010011120100 is 10211100102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4376662 + ... + 4814061.

Almost surely, 22010011120100 is an apocalyptic number.

2010011120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010011120100 is an abundant number, since it is smaller than the sum of its proper divisors (4531578594140).

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

2010011120100 is an equidigital number, since it uses as much as digits as its factorization.

2010011120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190758 (or 9190733 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2010011120100 its reverse (10211100102), we get a palindrome (2020222220202).

The spelling of 2010011120100 in words is "two trillion, ten billion, eleven million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2187 2430 2700 2916 3645 4050 4374 4860 6075 7290 8100 8748 10935 12150 14580 18225 21870 24300 36450 43740 54675 72900 109350 218700 9190723 18381446 27572169 36762892 45953615 55144338 82716507 91907230 110288676 137860845 165433014 183814460 229768075 248149521 275721690 330866028 413582535 459536150 496299042 551443380 689304225 744448563 827165070 919072300 992598084 1240747605 1378608450 1488897126 1654330140 2067912675 2233345689 2481495210 2757216900 2977794252 3722242815 4135825350 4466691378 4962990420 6203738025 6700037067 7444485630 8271650700 8933382756 11166728445 12407476050 13400074134 14888971260 18611214075 20100111201 22333456890 24814952100 26800148268 33500185335 37222428150 40200222402 44666913780 55833642225 67000370670 74444856300 80400444804 100500556005 111667284450 134000741340 167500926675 201001112010 223334568900 335001853350 402002224020 502502780025 670003706700 1005005560050 2010011120100