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13323320011000 = 2353192083336643
BaseRepresentation
bin1100000111100001001111…
…0000011010100011111000
31202011200211002010212011201
43001320103300122203320
53221242124410323000
644200352042303544
72543402201346226
oct301702360324370
952150732125151
1013323320011000
11427742a89845a
1215b2194ab7bb4
137584cac5c3ac
14340bd0357b16
151818842b896a
hexc1e13c1a8f8

13323320011000 has 128 divisors (see below), whose sum is σ = 32833293292800. Its totient is φ = 5046398236800.

The previous prime is 13323320010989. The next prime is 13323320011009. The reversal of 13323320011000 is 11002332331.

It is a super-2 number, since 2×133233200110002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323320011009) 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, 39408679 + ... + 39745321.

It is an arithmetic number, because the mean of its divisors is an integer number (256510103850).

Almost surely, 213323320011000 is an apocalyptic number.

13323320011000 is a gapful number since it is divisible by the number (10) 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 13323320011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416646646400).

13323320011000 is an abundant number, since it is smaller than the sum of its proper divisors (19509973281800).

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

13323320011000 is a wasteful number, since it uses less digits than its factorization.

13323320011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338766 (or 338752 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13323320011000 its reverse (11002332331), we get a palindrome (13334322343331).

The spelling of 13323320011000 in words is "thirteen trillion, three hundred twenty-three billion, three hundred twenty million, eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2083 2375 3800 4166 4750 8332 9500 10415 16664 19000 20830 39577 41660 52075 79154 83320 104150 158308 197885 208300 260375 316616 336643 395770 416600 520750 673286 791540 989425 1041500 1346572 1583080 1683215 1978850 2083000 2693144 3366430 3957700 4947125 6396217 6732860 7915400 8416075 9894250 12792434 13465720 16832150 19788500 25584868 31981085 33664300 39577000 42080375 51169736 63962170 67328600 84160750 127924340 159905425 168321500 255848680 319810850 336643000 639621700 701227369 799527125 1279243400 1402454738 1599054250 2804909476 3198108500 3506136845 5609818952 6396217000 7012273690 13323320011 14024547380 17530684225 26646640022 28049094760 35061368450 53293280044 66616600055 70122736900 87653421125 106586560088 133233200110 140245473800 175306842250 266466400220 333083000275 350613684500 532932800440 666166000550 701227369000 1332332001100 1665415001375 2664664002200 3330830002750 6661660005500 13323320011000