Search a number
-
+
12133021213302 = 23111929367909091
BaseRepresentation
bin1011000010001111000001…
…1010110110001001110110
31120221220110002221212221020
42300203300122312021312
53042241411412311202
641445455532202010
72361403401453633
oct260436032661166
946856402855836
1012133021213302
113958649193230
12143b564309306
136a01a64953a2
142dd35441318a
1516091b1185bc
hexb08f06b6276

12133021213302 has 128 divisors (see below), whose sum is σ = 28904761958400. Its totient is φ = 3353887555200.

The previous prime is 12133021213301. The next prime is 12133021213343. The reversal of 12133021213302 is 20331212033121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133021213301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12891777 + ... + 13800867.

It is an arithmetic number, because the mean of its divisors is an integer number (225818452800).

Almost surely, 212133021213302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133021213302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14452380979200).

12133021213302 is an abundant number, since it is smaller than the sum of its proper divisors (16771740745098).

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

12133021213302 is a wasteful number, since it uses less digits than its factorization.

12133021213302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909522.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12133021213302 its reverse (20331212033121), we get a palindrome (32464233246423).

The spelling of 12133021213302 in words is "twelve trillion, one hundred thirty-three billion, twenty-one million, two hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 66 87 114 174 209 319 367 418 551 627 638 734 957 1101 1102 1254 1653 1914 2202 3306 4037 6061 6973 8074 10643 12111 12122 13946 18183 20919 21286 24222 31929 36366 41838 63858 76703 117073 153406 202217 230109 234146 351219 404434 460218 606651 702438 909091 1213302 1818182 2224387 2727273 4448774 5454546 6673161 10000001 13346322 17272729 20000002 26363639 30000003 34545458 51818187 52727278 60000006 79090917 103636374 158181834 190000019 290000029 333636397 380000038 500909141 570000057 580000058 667272794 870000087 1000909191 1001818282 1140000114 1502727423 1740000174 2001818382 3005454846 3670000367 5510000551 6339091543 7340000734 9675455513 11010001101 11020001102 12678183086 16530001653 19017274629 19350911026 22020002202 29026366539 33060003306 38034549258 58052733078 69730006973 106430010643 139460013946 183833654747 209190020919 212860021286 319290031929 367667309494 418380041838 551500964241 638580063858 1103001928482 2022170202217 4044340404434 6066510606651 12133021213302