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13111332223332 = 2237894873601211
BaseRepresentation
bin1011111011001011100001…
…0011001011100101100100
31201102102122021201110111110
42332302320103023211210
53204304002022121312
643515132440305020
72522156015031030
oct276627023134544
951372567643443
1013111332223332
1141a5537256a22
121579092772170
13741516193245
143348401171c0
1517b0c86d743c
hexbecb84cb964

13111332223332 has 96 divisors (see below), whose sum is σ = 35429011752960. Its totient is φ = 3696397182720.

The previous prime is 13111332223331. The next prime is 13111332223397. The reversal of 13111332223332 is 23332223311131.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13111332223332.

It is not an unprimeable number, because it can be changed into a prime (13111332223331) by changing a digit.

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, 1840207 + ... + 5441417.

It is an arithmetic number, because the mean of its divisors is an integer number (369052205760).

Almost surely, 213111332223332 is an apocalyptic number.

13111332223332 is a gapful number since it is divisible by the number (12) 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 13111332223332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17714505876480).

13111332223332 is an abundant number, since it is smaller than the sum of its proper divisors (22317679529628).

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

13111332223332 is a wasteful number, since it uses less digits than its factorization.

13111332223332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601801 (or 3601799 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 13111332223332 its reverse (23332223311131), we get a palindrome (36443555534463).

The spelling of 13111332223332 in words is "thirteen trillion, one hundred eleven billion, three hundred thirty-two million, two hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 487 534 623 974 1068 1246 1461 1869 1948 2492 2922 3409 3738 5844 6818 7476 10227 13636 20454 40908 43343 86686 130029 173372 260058 303401 520116 606802 910203 1213604 1820406 3601211 3640812 7202422 10803633 14404844 21607266 25208477 43214532 50416954 75625431 100833908 151250862 302501724 320507779 641015558 961523337 1282031116 1753789757 1923046674 2243554453 3507579514 3846093348 4487108906 5261369271 6730663359 7015159028 8974217812 10522738542 12276528299 13461326718 21045477084 24553056598 26922653436 36829584897 49106113196 73659169794 147318339588 156087288373 312174576746 468261865119 624349153492 936523730238 1092611018611 1873047460476 2185222037222 3277833055833 4370444074444 6555666111666 13111332223332