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13031100120 = 2335294387083
BaseRepresentation
bin11000010001011011…
…01100111011011000
31020122011022110210210
430020231230323120
5203141430200440
65553021411120
7640631344353
oct141055547330
936564273723
1013031100120
115587797435
122638109aa0
1312c897063c
148b894329a
15514046a80
hex308b6ced8

13031100120 has 128 divisors (see below), whose sum is σ = 41382316800. Its totient is φ = 3277069824.

The previous prime is 13031100119. The next prime is 13031100143. The reversal of 13031100120 is 2100113031.

13031100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13031100096 and 13031100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106099 + ... + 193181.

It is an arithmetic number, because the mean of its divisors is an integer number (323299350).

Almost surely, 213031100120 is an apocalyptic number.

13031100120 is a gapful number since it is divisible by the number (10) 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 13031100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20691158400).

13031100120 is an abundant number, since it is smaller than the sum of its proper divisors (28351216680).

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

13031100120 is a wasteful number, since it uses less digits than its factorization.

13031100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87169 (or 87165 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13031100120 its reverse (2100113031), we get a palindrome (15131213151).

The spelling of 13031100120 in words is "thirteen billion, thirty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 43 58 60 86 87 116 120 129 145 172 174 215 232 258 290 344 348 430 435 516 580 645 696 860 870 1032 1160 1247 1290 1720 1740 2494 2580 3480 3741 4988 5160 6235 7482 9976 12470 14964 18705 24940 29928 37410 49880 74820 87083 149640 174166 261249 348332 435415 522498 696664 870830 1044996 1306245 1741660 2089992 2525407 2612490 3483320 3744569 5050814 5224980 7489138 7576221 10101628 10449960 11233707 12627035 14978276 15152442 18722845 20203256 22467414 25254070 29956552 30304884 37445690 37881105 44934828 50508140 56168535 60609768 74891380 75762210 89869656 101016280 108592501 112337070 149782760 151524420 217185002 224674140 303048840 325777503 434370004 449348280 542962505 651555006 868740008 1085925010 1303110012 1628887515 2171850020 2606220024 3257775030 4343700040 6515550060 13031100120