Search a number
-
+
13110373128 = 23329103199919
BaseRepresentation
bin11000011010111000…
…00110101100001000
31020211200110221221010
430031130012230020
5203322223420003
610004532443520
7642613222116
oct141534065410
936750427833
1013110373128
115618511416
12265a7795a0
13130c207b48
148c529aab6
1551aea5003
hex30d706b08

13110373128 has 128 divisors (see below), whose sum is σ = 34444800000. Its totient is φ = 4152943872.

The previous prime is 13110373097. The next prime is 13110373147. The reversal of 13110373128 is 82137301131.

It is a junction number, because it is equal to n+sod(n) for n = 13110373095 and 13110373104.

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, 14265453 + ... + 14266371.

It is an arithmetic number, because the mean of its divisors is an integer number (269100000).

Almost surely, 213110373128 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 13110373128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17222400000).

13110373128 is an abundant number, since it is smaller than the sum of its proper divisors (21334426872).

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

13110373128 is a wasteful number, since it uses less digits than its factorization.

13110373128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 13110373128 its reverse (82137301131), we get a palindrome (95247674259).

The spelling of 13110373128 in words is "thirteen billion, one hundred ten million, three hundred seventy-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 103 116 174 199 206 232 309 348 398 412 597 618 696 796 824 919 1194 1236 1592 1838 2388 2472 2757 2987 3676 4776 5514 5771 5974 7352 8961 11028 11542 11948 17313 17922 20497 22056 23084 23896 26651 34626 35844 40994 46168 53302 61491 69252 71688 79953 81988 94657 106604 122982 138504 159906 163976 182881 189314 213208 245964 283971 319812 365762 378628 491928 548643 567942 594413 639624 731524 757256 1097286 1135884 1188826 1463048 1783239 2194572 2271768 2377652 2745053 3566478 4389144 4755304 5303549 5490106 7132956 8235159 10607098 10980212 14265912 15910647 16470318 18836743 21214196 21960424 31821294 32940636 37673486 42428392 56510229 63642588 65881272 75346972 113020458 127285176 150693944 226040916 452081832 546265547 1092531094 1638796641 2185062188 3277593282 4370124376 6555186564 13110373128