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13213320032 = 251127346747
BaseRepresentation
bin11000100111001001…
…10100001101100000
31021002212012012112102
430103210310031200
5204030102220112
610023051145532
7645303236633
oct142344641540
937085165472
1013213320032
115670635a00
1226891452a8
131327640a83
148d4c17c1a
1552503cbc2
hex313934360

13213320032 has 72 divisors (see below), whose sum is σ = 28985910408. Its totient is φ = 5923653120.

The previous prime is 13213320017. The next prime is 13213320037. The reversal of 13213320032 is 23002331231.

It is a junction number, because it is equal to n+sod(n) for n = 13213319986 and 13213320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213320037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259283 + ... + 306029.

It is an arithmetic number, because the mean of its divisors is an integer number (402582089).

Almost surely, 213213320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492955204).

13213320032 is an abundant number, since it is smaller than the sum of its proper divisors (15772590376).

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

13213320032 is a wasteful number, since it uses less digits than its factorization.

13213320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46852 (or 46833 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13213320032 its reverse (23002331231), we get a palindrome (36215651263).

The spelling of 13213320032 in words is "thirteen billion, two hundred thirteen million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 121 146 176 242 292 352 484 584 803 968 1168 1606 1936 2336 3212 3872 6424 8833 12848 17666 25696 35332 46747 70664 93494 141328 186988 282656 373976 514217 747952 1028434 1495904 2056868 3412531 4113736 5656387 6825062 8227472 11312774 13650124 16454944 22625548 27300248 37537841 45251096 54600496 75075682 90502192 109200992 150151364 181004384 300302728 412916251 600605456 825832502 1201210912 1651665004 3303330008 6606660016 13213320032