Search a number
-
+
11331330221310 = 23511103715146619
BaseRepresentation
bin1010010011100100011111…
…1010011010010011111110
31111010021010212220212000120
42210321013322122103332
52441123031014040220
640033312524035410
72246442632455041
oct244710772322376
944107125825016
1011331330221310
1136796545591a0
121330107692b66
136427030a4648
142b262166cc58
15149b49651a40
hexa4e47e9a4fe

11331330221310 has 128 divisors (see below), whose sum is σ = 29960348221440. Its totient is φ = 2719880592000.

The previous prime is 11331330221293. The next prime is 11331330221357. The reversal of 11331330221310 is 1312203313311.

It is a super-2 number, since 2×113313302213102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243039181 + ... + 243085799.

It is an arithmetic number, because the mean of its divisors is an integer number (234065220480).

Almost surely, 211331330221310 is an apocalyptic number.

11331330221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331330221310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980174110720).

11331330221310 is an abundant number, since it is smaller than the sum of its proper divisors (18629018000130).

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

11331330221310 is a wasteful number, since it uses less digits than its factorization.

11331330221310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53894.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11331330221310 its reverse (1312203313311), we get a palindrome (12643533534621).

The spelling of 11331330221310 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirty million, two hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 103 110 165 206 309 330 515 618 1030 1133 1545 2266 3090 3399 5665 6798 7151 11330 14302 16995 21453 33990 35755 42906 46619 71510 78661 93238 107265 139857 157322 214530 233095 235983 279714 393305 466190 471966 512809 699285 736553 786610 1025618 1179915 1398570 1473106 1538427 2209659 2359830 2564045 3076854 3682765 4419318 4801757 5128090 7365530 7692135 8102083 9603514 11048295 14405271 15384270 16204166 22096590 24008785 24306249 28810542 40510415 48017570 48612498 52819327 72026355 81020830 105638654 121531245 144052710 158457981 243062490 264096635 316915962 333372469 528193270 666744938 792289905 1000117407 1584579810 1666862345 2000234814 3333724690 3667097159 5000587035 7334194318 10001174070 11001291477 18335485795 22002582954 34337364307 36670971590 55006457385 68674728614 103012092921 110012914770 171686821535 206024185842 343373643070 377711007377 515060464605 755422014754 1030120929210 1133133022131 1888555036885 2266266044262 3777110073770 5665665110655 11331330221310