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230314113130024 = 237111923778278603
BaseRepresentation
bin110100010111100000101110…
…111001100101111000101000
31010012110210222112121010121001
4310113200232321211320220
5220141431300430130044
62133500502023124344
766340434266404150
oct6427405671457050
91105423875533531
10230314113130024
1167426737649120
12219b85025a36b4
139b686b23c8831
1440c3396637760
151b95eea5552d4
hexd1782ee65e28

230314113130024 has 128 divisors (see below), whose sum is σ = 566971784985600. Its totient is φ = 84974220080640.

The previous prime is 230314113130009. The next prime is 230314113130039. The reversal of 230314113130024 is 420031311413032.

230314113130024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230314113130009) and next prime (230314113130039).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 230314113129974 and 230314113130001.

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, 23681107 + ... + 31959709.

It is an arithmetic number, because the mean of its divisors is an integer number (4429467070200).

Almost surely, 2230314113130024 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 230314113130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283485892492800).

230314113130024 is an abundant number, since it is smaller than the sum of its proper divisors (336657671855576).

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

230314113130024 is a wasteful number, since it uses less digits than its factorization.

230314113130024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281023 (or 8281019 counting only the distinct ones).

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

Adding to 230314113130024 its reverse (420031311413032), we get a palindrome (650345424543056).

The spelling of 230314113130024 in words is "two hundred thirty trillion, three hundred fourteen billion, one hundred thirteen million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1463 1672 2377 2926 4754 5852 9508 11704 16639 19016 26147 33278 45163 52294 66556 90326 104588 133112 180652 183029 209176 316141 361304 366058 496793 632282 732116 993586 1264564 1464232 1987172 2529128 3477551 3974344 6955102 8278603 13910204 16557206 27820408 33114412 57950221 66228824 91064633 115900442 157293457 182129266 231800884 314586914 364258532 463601768 629173828 637452431 728517064 1101054199 1258347656 1274904862 1730228027 2202108398 2549809724 3460456054 4404216796 5099619448 6920912108 8808433592 12111596189 13841824216 19678239331 24223192378 39356478662 48446384756 78712957324 96892769512 137747675317 157425914648 216460632641 275495350634 373886547289 432921265282 550990701268 747773094578 865842530564 1101981402536 1495546189156 1515224428487 1731685061128 2617205831023 2991092378312 3030448856974 4112752020179 5234411662046 6060897713948 8225504040358 10468823324092 12121795427896 16451008080716 20937646648184 28789264141253 32902016161432 57578528282506 115157056565012 230314113130024