Search a number
-
+
2113312001232 = 243415338352901
BaseRepresentation
bin11110110000001011001…
…101100000110011010000
321111000211100100220220110
4132300023031200303100
5234111030333014412
64254501522241320
7305452561423545
oct36601315406320
97430740326813
102113312001232
117452835924a3
122a16a7ab6240
13124390c86003
14743db894bcc
1539e8ac48d3c
hex1ec0b360cd0

2113312001232 has 160 divisors (see below), whose sum is σ = 5713050341376. Its totient is φ = 672515584000.

The previous prime is 2113312001147. The next prime is 2113312001239. The reversal of 2113312001232 is 2321002133112.

It is a super-2 number, since 2×21133120012322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2113312001199 and 2113312001208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113312001239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39921982 + ... + 39974882.

Almost surely, 22113312001232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113312001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856525170688).

2113312001232 is an abundant number, since it is smaller than the sum of its proper divisors (3599738340144).

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

2113312001232 is a wasteful number, since it uses less digits than its factorization.

2113312001232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53389 (or 53383 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2113312001232 its reverse (2321002133112), we get a palindrome (4434314134344).

The spelling of 2113312001232 in words is "two trillion, one hundred thirteen billion, three hundred twelve million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 53 82 106 123 159 164 212 246 318 328 383 424 492 636 656 766 848 984 1149 1272 1532 1968 2173 2298 2544 3064 4346 4596 6128 6519 8692 9192 13038 15703 17384 18384 20299 26076 31406 34768 40598 47109 52152 52901 60897 62812 81196 94218 104304 105802 121794 125624 158703 162392 188436 211604 243588 251248 317406 324784 376872 423208 487176 634812 753744 832259 846416 974352 1269624 1664518 2168941 2496777 2539248 2803753 3329036 4337882 4993554 5607506 6506823 6658072 8411259 8675764 9987108 11215012 13013646 13316144 16822518 17351528 19974216 20261083 22430024 26027292 33645036 34703056 39948432 40522166 44860048 52054584 60783249 67290072 81044332 104109168 114953873 121566498 134580144 162088664 229907746 243132996 324177328 344861619 459815492 486265992 689723238 830704403 919630984 972531984 1073837399 1379446476 1661408806 1839261968 2147674798 2492113209 2758892952 3221512197 3322817612 4295349596 4984226418 5517785904 6443024394 6645635224 8590699192 9968452836 12886048788 13291270448 17181398384 19936905672 25772097576 39873811344 44027333359 51544195152 88054666718 132082000077 176109333436 264164000154 352218666872 528328000308 704437333744 1056656000616 2113312001232