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13231331220 = 223513712131327
BaseRepresentation
bin11000101001010011…
…00001011110010100
31021011010002021020110
430110221201132110
5204044210044340
610024533203020
7645612313452
oct142451413624
937133067213
1013231331220
11567a817a88
122693190470
13132b2a8b93
148d73859d2
155268e9680
hex314a61794

13231331220 has 96 divisors (see below), whose sum is σ = 37377059328. Its totient is φ = 3497075712.

The previous prime is 13231331213. The next prime is 13231331221. The reversal of 13231331220 is 2213313231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231331221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9970197 + ... + 9971523.

It is an arithmetic number, because the mean of its divisors is an integer number (389344368).

Almost surely, 213231331220 is an apocalyptic number.

13231331220 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 13231331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18688529664).

13231331220 is an abundant number, since it is smaller than the sum of its proper divisors (24145728108).

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

13231331220 is a wasteful number, since it uses less digits than its factorization.

13231331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13231331220 its reverse (2213313231), we get a palindrome (15444644451).

The spelling of 13231331220 in words is "thirteen billion, two hundred thirty-one million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1213 1327 1370 1644 2055 2426 2654 2740 3639 3981 4110 4852 5308 6065 6635 7278 7962 8220 12130 13270 14556 15924 18195 19905 24260 26540 36390 39810 72780 79620 166181 181799 332362 363598 498543 545397 664724 727196 830905 908995 997086 1090794 1609651 1661810 1817990 1994172 2181588 2492715 2726985 3219302 3323620 3635980 4828953 4985430 5453970 6438604 8048255 9657906 9970860 10907940 16096510 19315812 24144765 32193020 48289530 96579060 220522187 441044374 661566561 882088748 1102610935 1323133122 2205221870 2646266244 3307832805 4410443740 6615665610 13231331220