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2312132130312 = 2333771233157393
BaseRepresentation
bin100001101001010101110…
…100000111011000001000
322012001000110111221202220
4201221111310013120020
5300340221311132222
64530102343454040
7326021534556624
oct41512564073010
98161013457686
102312132130312
1181162a346164
12314134457320
1313a057a0aac4
147dc9cda6184
154022580bb5c
hex21a55d07608

2312132130312 has 128 divisors (see below), whose sum is σ = 6046044975360. Its totient is φ = 736141271040.

The previous prime is 2312132130293. The next prime is 2312132130323. The reversal of 2312132130312 is 2130312312132.

It is a super-2 number, since 2×23121321303122 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14611488 + ... + 14768880.

It is an arithmetic number, because the mean of its divisors is an integer number (47234726370).

Almost surely, 22312132130312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312132130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023022487680).

2312132130312 is an abundant number, since it is smaller than the sum of its proper divisors (3733912845048).

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

2312132130312 is a wasteful number, since it uses less digits than its factorization.

2312132130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157743 (or 157739 counting only the distinct ones).

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

Adding to 2312132130312 its reverse (2130312312132), we get a palindrome (4442444442444).

The spelling of 2312132130312 in words is "two trillion, three hundred twelve billion, one hundred thirty-two million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 71 74 111 142 148 213 222 233 284 296 426 444 466 568 699 852 888 932 1398 1704 1864 2627 2796 5254 5592 7881 8621 10508 15762 16543 17242 21016 25863 31524 33086 34484 49629 51726 63048 66172 68968 99258 103452 132344 157393 198516 206904 314786 397032 472179 612091 629572 944358 1224182 1259144 1836273 1888716 2448364 3672546 3777432 4896728 5823541 7345092 11174903 11647082 14690184 17470623 22349806 23294164 33524709 34941246 36672569 44699612 46588328 67049418 69882492 73345138 89399224 110017707 134098836 139764984 146690276 220035414 268197672 293380552 413471411 440070828 826942822 880141656 1240414233 1356885053 1653885644 2480828466 2603752399 2713770106 3307771288 4070655159 4961656932 5207504798 5427540212 7811257197 8141310318 9923313864 10415009596 10855080424 15622514394 16282620636 20830019192 31245028788 32565241272 62490057576 96338838763 192677677526 289016516289 385355355052 578033032578 770710710104 1156066065156 2312132130312