Search a number
-
+
2013112199982 = 2313673674632267
BaseRepresentation
bin11101010010110110110…
…101100110101100101110
321010110012020202121212110
4131102312311212230232
5230440323210344412
64140451100544450
7265304540236242
oct35226665465456
97113166677773
102013112199982
1170683539a7a4
122861a3252126
13117ab2c5b8a0
146d6140a4422
15375741e3d3c
hex1d4b6d66b2e

2013112199982 has 128 divisors (see below), whose sum is σ = 4424121483264. Its totient is φ = 606929355648.

The previous prime is 2013112199981. The next prime is 2013112200097. The reversal of 2013112199982 is 2899912113102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013112199981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 888006013 + ... + 888008279.

It is an arithmetic number, because the mean of its divisors is an integer number (34563449088).

Almost surely, 22013112199982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013112199982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212060741632).

2013112199982 is an abundant number, since it is smaller than the sum of its proper divisors (2411009283282).

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

2013112199982 is a wasteful number, since it uses less digits than its factorization.

2013112199982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182.

The product of its (nonzero) digits is 139968, while the sum is 48.

The spelling of 2013112199982 in words is "two trillion, thirteen billion, one hundred twelve million, one hundred ninety-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 367 402 463 734 871 926 1101 1389 1742 2202 2267 2613 2778 4534 4771 5226 6019 6801 9542 12038 13602 14313 18057 24589 28626 29471 31021 36114 49178 58942 62042 73767 88413 93063 147534 151889 169921 176826 186126 303778 319657 339842 403273 455667 509763 639314 806546 831989 911334 958971 1019526 1049621 1209819 1663978 1917942 1974557 2099242 2208973 2419638 2495967 3148863 3949114 4417946 4991934 5923671 6297726 6626919 10815857 11384707 11847342 13253838 13645073 21631714 22769414 27290146 32447571 34154121 40935219 55743263 64895142 68308242 70324607 81870438 111486526 140649214 148001191 167229789 210973821 296002382 334459578 385210907 421947642 444003573 724662419 770421814 888007146 914219891 1155632721 1449324838 1828439782 2173987257 2311265442 2742659673 4347974514 5007741791 5485319346 10015483582 15023225373 25809130769 30046450746 51618261538 77427392307 154854784614 335518699997 671037399994 1006556099991 2013112199982