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13213301220 = 22325747921893
BaseRepresentation
bin11000100111001001…
…01111100111100100
31021002212011020201200
430103210233213210
5204030101114340
610023050522500
7645303131040
oct142344574744
937085136650
1013213301220
115670622859
122689136430
131327635342
148d4c11020
15525037330
hex31392f9e4

13213301220 has 144 divisors (see below), whose sum is σ = 45903836160. Its totient is φ = 3013740288.

The previous prime is 13213301201. The next prime is 13213301239. The reversal of 13213301220 is 2210331231.

13213301220 is a `hidden beast` number, since 1 + 321 + 330 + 12 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13213301201) and next prime (13213301239).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13213301193 and 13213301202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592594 + ... + 614486.

It is an arithmetic number, because the mean of its divisors is an integer number (318776640).

Almost surely, 213213301220 is an apocalyptic number.

13213301220 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 13213301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22951918080).

13213301220 is an abundant number, since it is smaller than the sum of its proper divisors (32690534940).

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

13213301220 is a wasteful number, since it uses less digits than its factorization.

13213301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22394 (or 22389 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13213301220 its reverse (2210331231), we get a palindrome (15423632451).

The spelling of 13213301220 in words is "thirteen billion, two hundred thirteen million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 479 630 958 1260 1437 1916 2395 2874 3353 4311 4790 5748 6706 7185 8622 9580 10059 13412 14370 16765 17244 20118 21555 21893 28740 30177 33530 40236 43110 43786 50295 60354 65679 67060 86220 87572 100590 109465 120708 131358 150885 153251 197037 201180 218930 262716 301770 306502 328395 394074 437860 459753 603540 613004 656790 766255 788148 919506 985185 1313580 1379259 1532510 1839012 1970370 2298765 2758518 3065020 3940740 4597530 5517036 6896295 9195060 10486747 13792590 20973494 27585180 31460241 41946988 52433735 62920482 73407229 94380723 104867470 125840964 146814458 157301205 188761446 209734940 220221687 293628916 314602410 367036145 377522892 440443374 471903615 629204820 660665061 734072290 880886748 943807230 1101108435 1321330122 1468144580 1887614460 2202216870 2642660244 3303325305 4404433740 6606650610 13213301220