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2013244301000 = 23534198875417
BaseRepresentation
bin11101010010111110101…
…101100001111011001000
321010110112110100001101202
4131102332231201323020
5230441111020113000
64140512140203332
7265311033130352
oct35227655417310
97113473301352
102013244301000
117068a2a17199
1228621b539548
13117b0443177a
146d6278500d2
1537580ad9dd5
hex1d4beb61ec8

2013244301000 has 128 divisors (see below), whose sum is σ = 4728431635200. Its totient is φ = 802321907200.

The previous prime is 2013244300997. The next prime is 2013244301009. The reversal of 2013244301000 is 1034423102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2013244301009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371650292 + ... + 371655708.

It is an arithmetic number, because the mean of its divisors is an integer number (36940872150).

Almost surely, 22013244301000 is an apocalyptic number.

2013244301000 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 2013244301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364215817600).

2013244301000 is an abundant number, since it is smaller than the sum of its proper divisors (2715187334200).

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

2013244301000 is a wasteful number, since it uses less digits than its factorization.

2013244301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2013244301000 its reverse (1034423102), we get a palindrome (2014278724102).

The spelling of 2013244301000 in words is "two trillion, thirteen billion, two hundred forty-four million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 419 500 838 887 1000 1676 1774 2095 3352 3548 4190 4435 5417 7096 8380 8870 10475 10834 16760 17740 20950 21668 22175 27085 35480 41900 43336 44350 52375 54170 83800 88700 104750 108340 110875 135425 177400 209500 216680 221750 270850 371653 419000 443500 541700 677125 743306 887000 1083400 1354250 1486612 1858265 2269723 2708500 2973224 3716530 4539446 4804879 5417000 7433060 9078892 9291325 9609758 11348615 14866120 18157784 18582650 19219516 22697230 24024395 37165300 38439032 45394460 46456625 48048790 56743075 74330600 90788920 92913250 96097580 113486150 120121975 185826500 192195160 226972300 240243950 283715375 371653000 453944600 480487900 567430750 600609875 960975800 1134861500 1201219750 2013244301 2269723000 2402439500 4026488602 4804879000 8052977204 10066221505 16105954408 20132443010 40264886020 50331107525 80529772040 100662215050 201324430100 251655537625 402648860200 503311075250 1006622150500 2013244301000