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1013013110330 = 2513174438091279
BaseRepresentation
bin11101011110111000100…
…10010101111000111010
310120211202121212220221022
432233130102111320322
5113044122324012310
62053212150342442
7133121260236134
oct16573422257072
93524677786838
101013013110330
11360686545331
121443b405aa22
13746b02aaa20
143705c826054
151b53de07a55
hexebdc495e3a

1013013110330 has 128 divisors (see below), whose sum is σ = 2088098611200. Its totient is φ = 350530412544.

The previous prime is 1013013110321. The next prime is 1013013110359. The reversal of 1013013110330 is 330113103101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 1013013110299 and 1013013110308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 792034631 + ... + 792035909.

It is an arithmetic number, because the mean of its divisors is an integer number (16313270400).

Almost surely, 21013013110330 is an apocalyptic number.

1013013110330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013013110330 is an abundant number, since it is smaller than the sum of its proper divisors (1075085500870).

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

1013013110330 is a wasteful number, since it uses less digits than its factorization.

1013013110330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1013013110330 its reverse (330113103101), we get a palindrome (1343126213431).

The spelling of 1013013110330 in words is "one trillion, thirteen billion, thirteen million, one hundred ten thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 443 809 886 1105 1279 1618 2210 2215 2558 4045 4430 5759 6395 7531 8090 10517 11518 12790 13753 15062 16627 21034 21743 27506 28795 33254 37655 43486 52585 57590 68765 75310 83135 97903 105170 108715 137530 166270 178789 195806 217430 282659 357578 358387 489515 565318 566597 716774 893945 979030 1034711 1133194 1413295 1787890 1791935 2069422 2826590 2832985 3583870 4659031 5173555 5665970 6092579 7365761 9318062 9632149 10347110 12185158 13451243 14731522 17590087 19264298 23295155 26902486 30462895 35180174 36828805 46590310 48160745 60925790 67256215 73657610 79203527 87950435 96321490 125217937 134512430 158407054 175900870 228671131 250435874 396017635 457342262 458376973 626089685 792035270 916753946 1143355655 1252179370 2286711310 2291884865 4583769730 5958900649 7792408541 11917801298 15584817082 29794503245 38962042705 59589006490 77924085410 101301311033 202602622066 506506555165 1013013110330