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12311164140 = 223511109171131
BaseRepresentation
bin10110111011100110…
…10111010011101100
31011202222121221022020
423131303113103230
5200203124223030
65353342550140
7614040111552
oct133563272354
934688557266
1012311164140
115248370920
122476b98350
131212771012
1484b099bd2
154c0c37510
hex2ddcd74ec

12311164140 has 96 divisors (see below), whose sum is σ = 37950232320. Its totient is φ = 2957126400.

The previous prime is 12311164139. The next prime is 12311164147. The reversal of 12311164140 is 4146111321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12311164140.

It is not an unprimeable number, because it can be changed into a prime (12311164147) 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, 13626 + ... + 157505.

It is an arithmetic number, because the mean of its divisors is an integer number (395314920).

Almost surely, 212311164140 is an apocalyptic number.

12311164140 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 12311164140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975116160).

12311164140 is an abundant number, since it is smaller than the sum of its proper divisors (25639068180).

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

12311164140 is a wasteful number, since it uses less digits than its factorization.

12311164140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171263 (or 171261 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 12311164140 its reverse (4146111321), we get a palindrome (16457275461).

The spelling of 12311164140 in words is "twelve billion, three hundred eleven million, one hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 327 330 436 545 654 660 1090 1199 1308 1635 2180 2398 3270 3597 4796 5995 6540 7194 11990 14388 17985 23980 35970 71940 171131 342262 513393 684524 855655 1026786 1711310 1882441 2053572 2566965 3422620 3764882 5133930 5647323 7529764 9412205 10267860 11294646 18653279 18824410 22589292 28236615 37306558 37648820 55959837 56473230 74613116 93266395 111919674 112946460 186532790 205186069 223839348 279799185 373065580 410372138 559598370 615558207 820744276 1025930345 1119196740 1231116414 2051860690 2462232828 3077791035 4103721380 6155582070 12311164140