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13231013220 = 22325798391109
BaseRepresentation
bin11000101001010000…
…10011110101100100
31021011002111010000200
430110220103311210
5204044114410340
610024522310500
7645606520365
oct142450236544
937132433020
1013231013220
11567a620077
122693058430
13132b1c7209
148d7301b6c
15526885330
hex314a13d64

13231013220 has 144 divisors (see below), whose sum is σ = 40727232000. Its totient is φ = 3476318976.

The previous prime is 13231013209. The next prime is 13231013233. The reversal of 13231013220 is 2231013231.

13231013220 is a `hidden beast` number, since 1 + 32 + 310 + 1 + 322 + 0 = 666.

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 = 13231013193 and 13231013202.

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, 11930026 + ... + 11931134.

It is an arithmetic number, because the mean of its divisors is an integer number (282828000).

Almost surely, 213231013220 is an apocalyptic number.

13231013220 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 13231013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20363616000).

13231013220 is an abundant number, since it is smaller than the sum of its proper divisors (27496218780).

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

13231013220 is a wasteful number, since it uses less digits than its factorization.

13231013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2037 counting only the distinct ones).

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

Adding to 13231013220 its reverse (2231013231), we get a palindrome (15462026451).

It can be divided in two parts, 132310 and 13220, that added together give a triangular number (145530 = T539).

The spelling of 13231013220 in words is "thirteen billion, two hundred thirty-one million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 839 948 1109 1185 1422 1580 1678 2218 2370 2517 2844 3327 3356 3555 4195 4436 4740 5034 5545 6654 7110 7551 8390 9981 10068 11090 12585 13308 14220 15102 16635 16780 19962 22180 25170 30204 33270 37755 39924 49905 50340 66281 66540 75510 87611 99810 132562 151020 175222 198843 199620 262833 265124 331405 350444 397686 438055 525666 596529 662810 788499 795372 876110 930451 994215 1051332 1193058 1314165 1325620 1576998 1752220 1860902 1988430 2386116 2628330 2791353 2982645 3153996 3721804 3942495 3976860 4652255 5256660 5582706 5965290 7884990 8374059 9304510 11165412 11930580 13956765 15769980 16748118 18609020 27913530 33496236 41870295 55827060 73505629 83740590 147011258 167481180 220516887 294022516 367528145 441033774 661550661 735056290 882067548 1102584435 1323101322 1470112580 2205168870 2646202644 3307753305 4410337740 6615506610 13231013220