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13312232320 = 27529370991
BaseRepresentation
bin11000110010111100…
…01000101110000000
31021100202022110200111
430121132020232000
5204230412413240
610040543201104
7650614051642
oct143136105600
937322273614
1013312232320
1157114541a2
1226b62a6194
131341c9345a
14904004892
1552da7a1ea
hex319788b80

13312232320 has 64 divisors (see below), whose sum is σ = 31933621440. Its totient is φ = 5306644480.

The previous prime is 13312232317. The next prime is 13312232341. The reversal of 13312232320 is 2323221331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13312232291 and 13312232300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152025 + ... + 223015.

It is an arithmetic number, because the mean of its divisors is an integer number (498962835).

Almost surely, 213312232320 is an apocalyptic number.

13312232320 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 13312232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966810720).

13312232320 is an abundant number, since it is smaller than the sum of its proper divisors (18621389120).

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

13312232320 is an equidigital number, since it uses as much as digits as its factorization.

13312232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71303 (or 71291 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13312232320 its reverse (2323221331), we get a palindrome (15635453651).

The spelling of 13312232320 in words is "thirteen billion, three hundred twelve million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 293 320 586 640 1172 1465 2344 2930 4688 5860 9376 11720 18752 23440 37504 46880 70991 93760 141982 187520 283964 354955 567928 709910 1135856 1419820 2271712 2839640 4543424 5679280 9086848 11358560 20800363 22717120 41600726 45434240 83201452 104001815 166402904 208003630 332805808 416007260 665611616 832014520 1331223232 1664029040 2662446464 3328058080 6656116160 13312232320