Search a number
-
+
12314355130 = 257311229671
BaseRepresentation
bin10110111011111111…
…00010010110111010
31011210012122001112001
423131333202112322
5200204433331010
65353535211214
7614106202000
oct133577422672
934705561461
1012314355130
11524a150300
122478076b0a
13121331a58c
1484b68aa70
154c1167c3a
hex2ddfe25ba

12314355130 has 96 divisors (see below), whose sum is σ = 28413907200. Its totient is φ = 3838111200.

The previous prime is 12314355103. The next prime is 12314355167. The reversal of 12314355130 is 3155341321.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400195 + ... + 429865.

It is an arithmetic number, because the mean of its divisors is an integer number (295978200).

Almost surely, 212314355130 is an apocalyptic number.

12314355130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12314355130 is an abundant number, since it is smaller than the sum of its proper divisors (16099552070).

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

12314355130 is a wasteful number, since it uses less digits than its factorization.

12314355130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29721 (or 29696 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 12314355130 its reverse (3155341321), we get a palindrome (15469696451).

The spelling of 12314355130 in words is "twelve billion, three hundred fourteen million, three hundred fifty-five thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 121 154 242 245 343 385 490 539 605 686 770 847 1078 1210 1694 1715 2695 3430 3773 4235 5390 5929 7546 8470 11858 18865 29645 29671 37730 41503 59290 59342 83006 148355 207515 207697 296710 326381 415030 415394 652762 1038485 1453879 1631905 2076970 2284667 2907758 3263810 3590191 4569334 7180382 7269395 10177153 11423335 14538790 15992669 17950955 20354306 22846670 25131337 31985338 35901910 50262674 50885765 79963345 101771530 111948683 125656685 159926690 175919359 223897366 251313370 351838718 559743415 879596795 1119486830 1231435513 1759193590 2462871026 6157177565 12314355130