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13313331331212 = 223111495871153157
BaseRepresentation
bin1100000110111100000001…
…1000101000000010001100
31202010202000221200100110110
43001233000120220002030
53221111200310044322
644152020542240020
72542566522102633
oct301570030500214
952122027610413
1013313331331212
1142731745054a0
1215b0267886010
13757598706693
1434052390051a
1518149c3e4c0c
hexc1bc062808c

13313331331212 has 96 divisors (see below), whose sum is σ = 34174067961600. Its totient is φ = 4000436542720.

The previous prime is 13313331331187. The next prime is 13313331331219. The reversal of 13313331331212 is 21213313331331.

It is a super-2 number, since 2×133133313312122 (a number of 27 digits) contains 22 as substring.

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 13313331331212.

It is not an unprimeable number, because it can be changed into a prime (13313331331219) 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, 10968538 + ... + 12121694.

It is an arithmetic number, because the mean of its divisors is an integer number (355979874600).

Almost surely, 213313331331212 is an apocalyptic number.

13313331331212 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 13313331331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087033980800).

13313331331212 is an abundant number, since it is smaller than the sum of its proper divisors (20860736630388).

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

13313331331212 is a wasteful number, since it uses less digits than its factorization.

13313331331212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153911 (or 1153909 counting only the distinct ones).

The product of its digits is 8748, while the sum is 30.

Adding to 13313331331212 its reverse (21213313331331), we get a palindrome (34526644662543).

The spelling of 13313331331212 in words is "thirteen trillion, three hundred thirteen billion, three hundred thirty-one million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 587 596 894 1174 1639 1761 1788 2348 3278 3522 4917 6457 6556 7044 9834 12914 19371 19668 25828 38742 77484 87463 174926 262389 349852 524778 962093 1049556 1153157 1924186 2306314 2886279 3459471 3848372 4612628 5772558 6918942 11545116 12684727 13837884 25369454 38054181 50738908 76108362 152216724 171820393 343640786 515461179 676903159 687281572 1030922358 1353806318 1890024323 2030709477 2061844716 2707612636 3780048646 4061418954 5670072969 7445934749 7560097292 8122837908 11340145938 14891869498 22337804247 22680291876 29783738996 44675608494 89351216988 100858570691 201717141382 302575712073 403434282764 605151424146 1109444277601 1210302848292 2218888555202 3328332832803 4437777110404 6656665665606 13313331331212