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231312221320312 = 231117676779340429
BaseRepresentation
bin110100100110000010010010…
…110010001011010001111000
31010100000020021102020200000201
4310212002102302023101320
5220304304412124222222
62135543211213411544
766502520323135036
oct6446022262132170
91110006242220021
10231312221320312
1167780a64702410
1221b39a36a99bb4
139c0b85876a732
1441197dd709556
151bb1e65b7a427
hexd26092c8b478

231312221320312 has 128 divisors (see below), whose sum is σ = 508523984928000. Its totient is φ = 97465462364160.

The previous prime is 231312221320303. The next prime is 231312221320331. The reversal of 231312221320312 is 213023122213132.

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, 679302514 + ... + 679642942.

It is an arithmetic number, because the mean of its divisors is an integer number (3972843632250).

Almost surely, 2231312221320312 is an apocalyptic number.

231312221320312 is a gapful number since it is divisible by the number (22) 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 231312221320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254261992464000).

231312221320312 is an abundant number, since it is smaller than the sum of its proper divisors (277211763607688).

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

231312221320312 is a wasteful number, since it uses less digits than its factorization.

231312221320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347309 (or 347305 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 231312221320312 its reverse (213023122213132), we get a palindrome (444335343533444).

The spelling of 231312221320312 in words is "two hundred thirty-one trillion, three hundred twelve billion, two hundred twenty-one million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 67 68 88 134 136 187 268 374 536 737 748 1139 1474 1496 2278 2948 4556 5896 6779 9112 12529 13558 25058 27116 50116 54232 74569 100232 115243 149138 230486 298276 340429 454193 460972 596552 680858 908386 921944 1267673 1361716 1816772 2535346 2723432 3633544 3744719 4996123 5070692 5787293 7489438 7721281 9992246 10141384 11574586 14978876 15442562 19984492 22808743 23149172 29957752 30885124 39968984 45617486 46298344 61770248 63660223 84934091 91234972 127320446 169868182 182469944 250896173 254640892 339736364 387748631 501792346 509281784 679472728 775497262 1003584692 1550994524 2007169384 2307768191 3101989048 4265234941 4615536382 8530469882 9231072764 17060939764 18462145528 25385450101 34121879528 39232059247 50770900202 78464118494 101541800404 154620468797 156928236988 203083600808 309240937594 313856473976 431552651717 618481875188 863105303434 1236963750376 1700825156767 1726210606868 2628547969549 3401650313534 3452421213736 5257095939098 6803300627068 10514191878196 13606601254136 21028383756392 28914027665039 57828055330078 115656110660156 231312221320312