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13012202220 = 22351718170481
BaseRepresentation
bin11000001111001011…
…00111001011101100
31020120211202100202120
430013211213023230
5203122110432340
65551104352540
7640311615423
oct140745471354
936524670676
1013012202220
11557805a136
122631915750
1312c4a84a54
148b62242ba
155125624d0
hex3079672ec

13012202220 has 96 divisors (see below), whose sum is σ = 38791037376. Its totient is φ = 3247718400.

The previous prime is 13012202213. The next prime is 13012202257. The reversal of 13012202220 is 2220221031.

It is a happy number.

It is a super-2 number, since 2×130122022202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13012202220.

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, 149380 + ... + 219860.

It is an arithmetic number, because the mean of its divisors is an integer number (404073306).

Almost surely, 213012202220 is an apocalyptic number.

13012202220 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 13012202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19395518688).

13012202220 is an abundant number, since it is smaller than the sum of its proper divisors (25778835156).

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

13012202220 is a wasteful number, since it uses less digits than its factorization.

13012202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70691 (or 70689 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13012202220 its reverse (2220221031), we get a palindrome (15232423251).

The spelling of 13012202220 in words is "thirteen billion, twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 181 204 255 340 362 510 543 724 905 1020 1086 1810 2172 2715 3077 3620 5430 6154 9231 10860 12308 15385 18462 30770 36924 46155 61540 70481 92310 140962 184620 211443 281924 352405 422886 704810 845772 1057215 1198177 1409620 2114430 2396354 3594531 4228860 4792708 5990885 7189062 11981770 12757061 14378124 17972655 23963540 25514122 35945310 38271183 51028244 63785305 71890620 76542366 127570610 153084732 191355915 216870037 255141220 382711830 433740074 650610111 765423660 867480148 1084350185 1301220222 2168700370 2602440444 3253050555 4337400740 6506101110 13012202220