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20312042334312 = 2334779241194541
BaseRepresentation
bin1001001111001010001000…
…00100010110100001101000
32122220210221011011111111210
410213211010010112201220
510130243030314144222
6111111120132153120
74164332226060531
oct447450404264150
978823834144453
1020312042334312
11652131a400343
122340739a687a0
13b44556c7a341
1450317287b688
15253569878d0c
hex127944116868

20312042334312 has 128 divisors (see below), whose sum is σ = 52539334041600. Its totient is φ = 6539959545600.

The previous prime is 20312042334257. The next prime is 20312042334313. The reversal of 20312042334312 is 21343324021302.

It is a happy number.

20312042334312 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 20312042334312.

It is not an unprimeable number, because it can be changed into a prime (20312042334313) by changing a digit.

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, 214801762 + ... + 214896302.

It is an arithmetic number, because the mean of its divisors is an integer number (410463547200).

Almost surely, 220312042334312 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 20312042334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26269667020800).

20312042334312 is an abundant number, since it is smaller than the sum of its proper divisors (32227291707288).

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

20312042334312 is a wasteful number, since it uses less digits than its factorization.

20312042334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97087 (or 97083 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 20312042334312 its reverse (21343324021302), we get a palindrome (41655366355614).

The spelling of 20312042334312 in words is "twenty trillion, three hundred twelve billion, forty-two million, three hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 79 94 141 158 188 237 282 316 376 474 564 632 948 1128 1896 2411 3713 4822 7233 7426 9644 11139 14466 14852 19288 22278 28932 29704 44556 57864 89112 94541 113317 189082 190469 226634 283623 339951 378164 380938 453268 567246 571407 679902 756328 761876 906536 1134492 1142814 1359804 1523752 2268984 2285628 2719608 4443427 4571256 7468739 8886854 8952043 13330281 14937478 17773708 17904086 22406217 26660562 26856129 29874956 35547416 35808172 44812434 53321124 53712258 59749912 71616344 89624868 106642248 107424516 179249736 214849032 227938351 351030733 455876702 683815053 702061466 911753404 1053092199 1367630106 1404122932 1823506808 2106184398 2735260212 2808245864 4212368796 5470520424 8424737592 10713102497 18007129729 21426204994 32139307491 36014259458 42852409988 54021389187 64278614982 72028518916 85704819976 108042778374 128557229964 144057037832 216085556748 257114459928 432171113496 846335097263 1692670194526 2539005291789 3385340389052 5078010583578 6770680778104 10156021167156 20312042334312