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231312302312 = 237132199712239
BaseRepresentation
bin1101011101101101001…
…0011010000011101000
3211010001112220110012212
43113123102122003220
512242211422133222
6254132521224252
722466064062060
oct3273322320350
9733045813185
10231312302312
118a10a8453a3
12389b6032088
1318a74538a00
14b2a49303a0
15603c3bd6e2
hex35db49a0e8

231312302312 has 96 divisors (see below), whose sum is σ = 537043219200. Its totient is φ = 91454867712.

The previous prime is 231312302269. The next prime is 231312302383. The reversal of 231312302312 is 213203213132.

231312302312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18893489 + ... + 18905727.

It is an arithmetic number, because the mean of its divisors is an integer number (5594200200).

Almost surely, 2231312302312 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 231312302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268521609600).

231312302312 is an abundant number, since it is smaller than the sum of its proper divisors (305730916888).

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

231312302312 is a wasteful number, since it uses less digits than its factorization.

231312302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14275 (or 14258 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 231312302312 its reverse (213203213132), we get a palindrome (444515515444).

The spelling of 231312302312 in words is "two hundred thirty-one billion, three hundred twelve million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 1997 2366 3994 4732 7988 9464 12239 13979 15976 24478 25961 27958 48956 51922 55916 85673 97912 103844 111832 159107 171346 181727 207688 318214 337493 342692 363454 636428 674986 685384 726908 1113749 1272856 1349972 1453816 2068391 2227498 2362451 2699944 4136782 4454996 4724902 8273564 8909992 9449804 14478737 16547128 18899608 24441283 28957474 48882566 57914948 97765132 115829896 171088981 195530264 317736679 342177962 635473358 684355924 1270946716 1368711848 2224156753 2541893432 4130576827 4448313506 8261153654 8896627012 16522307308 17793254024 28914037789 33044614616 57828075578 115656151156 231312302312