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13313013210 = 2325727177977
BaseRepresentation
bin11000110011000010…
…00111010111011010
31021100210210010212100
430121201013113122
5204231112410320
610041012024230
7650623513410
oct143141072732
937323703770
1013313013210
115711937962
1226b6602076
1313421a7a13
149041692b0
1552db81790
hex3198475da

13313013210 has 96 divisors (see below), whose sum is σ = 39705149952. Its totient is φ = 3031706880.

The previous prime is 13313013193. The next prime is 13313013211. The reversal of 13313013210 is 1231031331.

It is a happy number.

13313013210 is a `hidden beast` number, since 1 + 331 + 301 + 32 + 1 + 0 = 666.

13313013210 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 not an unprimeable number, because it can be changed into a prime (13313013211) by changing a digit.

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, 131742 + ... + 209718.

It is an arithmetic number, because the mean of its divisors is an integer number (413595312).

Almost surely, 213313013210 is an apocalyptic number.

13313013210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19852574976).

13313013210 is an abundant number, since it is smaller than the sum of its proper divisors (26392136742).

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

13313013210 is a wasteful number, since it uses less digits than its factorization.

13313013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78268 (or 78265 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13313013210 its reverse (1231031331), we get a palindrome (14544044541).

The spelling of 13313013210 in words is "thirteen billion, three hundred thirteen million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 271 315 542 630 813 1355 1626 1897 2439 2710 3794 4065 4878 5691 8130 9485 11382 12195 17073 18970 24390 28455 34146 56910 77977 85365 155954 170730 233931 389885 467862 545839 701793 779770 1091678 1169655 1403586 1637517 2339310 2729195 3275034 3508965 4912551 5458390 7017930 8187585 9825102 16375170 21131767 24562755 42263534 49125510 63395301 105658835 126790602 147922369 190185903 211317670 295844738 316976505 380371806 443767107 633953010 739611845 887534214 950929515 1331301321 1479223690 1901859030 2218835535 2662602642 4437671070 6656506605 13313013210