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13311203220 = 22325726340169
BaseRepresentation
bin11000110010110100…
…01101011110010100
31021100200101012000200
430121122031132110
5204230132000340
610040505140500
7650602234440
oct143132153624
937320335020
1013311203220
115710910aa7
1226b5a8a730
1313419c2c13
14903c17820
1552d925330
hex31968d794

13311203220 has 144 divisors (see below), whose sum is σ = 46322115840. Its totient is φ = 3030916608.

The previous prime is 13311203207. The next prime is 13311203231. The reversal of 13311203220 is 2230211331.

13311203220 is a `hidden beast` number, since 1 + 331 + 12 + 0 + 322 + 0 = 666.

13311203220 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13311203193 and 13311203202.

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 47 ways as a sum of consecutive naturals, for example, 311296 + ... + 351464.

It is an arithmetic number, because the mean of its divisors is an integer number (321681360).

Almost surely, 213311203220 is an apocalyptic number.

13311203220 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 13311203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23161057920).

13311203220 is an abundant number, since it is smaller than the sum of its proper divisors (33010912620).

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

13311203220 is a wasteful number, since it uses less digits than its factorization.

13311203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40454 (or 40449 counting only the distinct ones).

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

Adding to 13311203220 its reverse (2230211331), we get a palindrome (15541414551).

The spelling of 13311203220 in words is "thirteen billion, three hundred eleven million, two hundred three 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 90 105 126 140 180 210 252 263 315 420 526 630 789 1052 1260 1315 1578 1841 2367 2630 3156 3682 3945 4734 5260 5523 7364 7890 9205 9468 11046 11835 15780 16569 18410 22092 23670 27615 33138 36820 40169 47340 55230 66276 80338 82845 110460 120507 160676 165690 200845 241014 281183 331380 361521 401690 482028 562366 602535 723042 803380 843549 1124732 1205070 1405915 1446084 1687098 1807605 2410140 2530647 2811830 3374196 3615210 4217745 5061294 5623660 7230420 8435490 10122588 10564447 12653235 16870980 21128894 25306470 31693341 42257788 50612940 52822235 63386682 73951129 95080023 105644470 126773364 147902258 158466705 190160046 211288940 221853387 295804516 316933410 369755645 380320092 443706774 475400115 633866820 665560161 739511290 887413548 950800230 1109266935 1331120322 1479022580 1901600460 2218533870 2662240644 3327800805 4437067740 6655601610 13311203220