Search a number
-
+
11320312112312 = 2371923761607861
BaseRepresentation
bin1010010010111011011100…
…1011101010010010111000
31111002012201000101220220112
42210232313023222102320
52440432444400043222
640024251331443452
72245602613210220
oct244566713522270
944065630356815
1011320312112312
113674a10081895
121329b51756588
136416684a9518
142b1c98207080
151497021d6be2
hexa4bb72ea4b8

11320312112312 has 128 divisors (see below), whose sum is σ = 26679792614400. Its totient is φ = 4390597094400.

The previous prime is 11320312112309. The next prime is 11320312112377. The reversal of 11320312112312 is 21321121302311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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, 18319262 + ... + 18927122.

It is an arithmetic number, because the mean of its divisors is an integer number (208435879800).

Almost surely, 211320312112312 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 11320312112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13339896307200).

11320312112312 is an abundant number, since it is smaller than the sum of its proper divisors (15359480502088).

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

11320312112312 is a wasteful number, since it uses less digits than its factorization.

11320312112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608677 (or 608673 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 11320312112312 its reverse (21321121302311), we get a palindrome (32641433414623).

The spelling of 11320312112312 in words is "eleven trillion, three hundred twenty billion, three hundred twelve million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 76 92 133 152 161 184 266 322 437 532 644 761 874 1064 1288 1522 1748 3044 3059 3496 5327 6088 6118 10654 12236 14459 17503 21308 24472 28918 35006 42616 57836 70012 101213 115672 122521 140024 202426 245042 332557 404852 490084 607861 665114 809704 980168 1215722 1330228 2327899 2431444 2660456 4255027 4655798 4862888 8510054 9311596 11549359 13980803 17020108 18623192 23098718 27961606 34040216 46197436 55923212 80845513 92394872 97865621 111846424 161691026 195731242 265635257 323382052 391462484 462582221 531270514 646764104 782924968 925164442 1062541028 1850328884 1859446799 2125082056 3238075547 3700657768 3718893598 6476151094 7437787196 8789062199 10639391083 12952302188 14875574392 17578124398 21278782166 25904604376 35156248796 42557564332 61523435393 70312497592 74475737581 85115128664 123046870786 148951475162 202148430577 246093741572 297902950324 404296861154 492187483144 595805900648 808593722308 1415039014039 1617187444616 2830078028078 5660156056156 11320312112312