Search a number
-
+
2113040234100 = 2235219385196263
BaseRepresentation
bin11110101111111011000…
…000110011011001110100
321111000010101222201111010
4132233323000303121310
5234110001244442400
64254414533312220
7305443051432545
oct36577300633164
97430111881433
102113040234100
11745154141864
122a1630a95670
13124349891a63
14743b37504cc
1539e71e65450
hex1ebfb033674

2113040234100 has 144 divisors (see below), whose sum is σ = 6437242990080. Its totient is φ = 533676528000.

The previous prime is 2113040234077. The next prime is 2113040234111. The reversal of 2113040234100 is 14320403112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21902569 + ... + 21998831.

It is an arithmetic number, because the mean of its divisors is an integer number (44703076320).

Almost surely, 22113040234100 is an apocalyptic number.

2113040234100 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 2113040234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218621495040).

2113040234100 is an abundant number, since it is smaller than the sum of its proper divisors (4324202755980).

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

2113040234100 is a wasteful number, since it uses less digits than its factorization.

2113040234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100150 (or 100143 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2113040234100 its reverse (14320403112), we get a palindrome (2127360637212).

The spelling of 2113040234100 in words is "two trillion, one hundred thirteen billion, forty million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 3851 5700 7702 11553 15404 19255 23106 38510 46212 57765 73169 77020 96263 96275 115530 146338 192526 192550 219507 231060 288789 288825 292676 365845 385052 385100 439014 481315 577578 577650 731690 878028 962630 1097535 1155156 1155300 1443945 1463380 1828997 1829225 1925260 2195070 2406575 2887890 3657994 3658450 4390140 4813150 5486991 5487675 5775780 7219725 7315988 7316900 9144985 9626300 10973982 10975350 14439450 18289970 21947964 21950700 27434955 28878900 36579940 45724925 54869910 91449850 109739820 137174775 182899700 274349550 370708813 548699100 741417626 1112126439 1482835252 1853544065 2224252878 3707088130 4448505756 5560632195 7043467447 7414176260 9267720325 11121264390 14086934894 18535440650 21130402341 22242528780 27803160975 28173869788 35217337235 37070881300 42260804682 55606321950 70434674470 84521609364 105652011705 111212643900 140869348940 176086686175 211304023410 352173372350 422608046820 528260058525 704346744700 1056520117050 2113040234100