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13270002130 = 25721113671801
BaseRepresentation
bin11000101101111010…
…00010100111010010
31021020210211221202101
430112331002213102
5204134110032010
610032434111014
7646562104600
oct142675024722
937223757671
1013270002130
11569a630010
1226a411b46a
1313362c8788
148dc570870
15529ed773a
hex316f429d2

13270002130 has 96 divisors (see below), whose sum is σ = 30350754432. Its totient is φ = 4130784000.

The previous prime is 13270002127. The next prime is 13270002131. The reversal of 13270002130 is 3120007231.

13270002130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13270002098 and 13270002107.

It is not an unprimeable number, because it can be changed into a prime (13270002131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7367230 + ... + 7369030.

It is an arithmetic number, because the mean of its divisors is an integer number (316153692).

Almost surely, 213270002130 is an apocalyptic number.

13270002130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13270002130 is an abundant number, since it is smaller than the sum of its proper divisors (17080752302).

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

13270002130 is a wasteful number, since it uses less digits than its factorization.

13270002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

Adding to 13270002130 its reverse (3120007231), we get a palindrome (16390009361).

The spelling of 13270002130 in words is "thirteen billion, two hundred seventy million, two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1078 1367 1801 2695 2734 3602 5390 6835 9005 9569 12607 13670 15037 18010 19138 19811 25214 30074 39622 47845 63035 66983 75185 88249 95690 99055 105259 126070 133966 138677 150370 176498 198110 210518 277354 334915 441245 526295 669830 693385 736813 882490 970739 1052590 1386770 1473626 1941478 2461967 3684065 4853695 4923934 7368130 9707390 12309835 17233769 24619670 27081637 34467538 54163274 86168845 120636383 135408185 172337690 189571459 241272766 270816370 379142918 603181915 947857295 1206363830 1327000213 1895714590 2654000426 6635001065 13270002130