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13231332312 = 23311371499091
BaseRepresentation
bin11000101001010011…
…00001101111011000
31021011010002022201220
430110221201233120
5204044210113222
610024533212040
7645612316602
oct142451415730
937133068656
1013231332312
11567a818890
122693191020
13132b2a9523
148d7386172
155268e9b5c
hex314a61bd8

13231332312 has 128 divisors (see below), whose sum is σ = 37313568000. Its totient is φ = 3874521600.

The previous prime is 13231332253. The next prime is 13231332341. The reversal of 13231332312 is 21323313231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450887 + ... + 1459977.

It is an arithmetic number, because the mean of its divisors is an integer number (291512250).

Almost surely, 213231332312 is an apocalyptic number.

13231332312 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 13231332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18656784000).

13231332312 is an abundant number, since it is smaller than the sum of its proper divisors (24082235688).

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

13231332312 is a wasteful number, since it uses less digits than its factorization.

13231332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9297 (or 9293 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 13231332312 its reverse (21323313231), we get a palindrome (34554645543).

It can be divided in two parts, 13231 and 332312, that added together give a palindrome (345543).

The spelling of 13231332312 in words is "thirteen billion, two hundred thirty-one million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 149 222 264 296 298 407 444 447 596 814 888 894 1192 1221 1628 1639 1788 2442 3256 3278 3576 4884 4917 5513 6556 9091 9768 9834 11026 13112 16539 18182 19668 22052 27273 33078 36364 39336 44104 54546 60643 66156 72728 100001 109092 121286 132312 181929 200002 218184 242572 300003 336367 363858 400004 485144 600006 672734 727716 800008 1009101 1200012 1345468 1354559 1455432 2018202 2400024 2690936 2709118 3700037 4036404 4063677 5418236 7400074 8072808 8127354 10836472 11100111 14800148 14900149 16254708 22200222 29600296 29800298 32509416 44400444 44700447 50118683 59600596 88800888 89400894 100237366 119201192 150356049 178801788 200474732 300712098 357603576 400949464 551305513 601424196 1102611026 1202848392 1653916539 2205222052 3307833078 4410444104 6615666156 13231332312