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13012323320 = 2358915832309
BaseRepresentation
bin11000001111001100…
…00100101111111000
31020120211222111212202
430013212010233320
5203122123321240
65551111125332
7640312631453
oct140746045770
936524874782
1013012323320
115578132117
122631973848
1312c4ac7bc9
148b625649a
15512588315
hex307984bf8

13012323320 has 64 divisors (see below), whose sum is σ = 29638224000. Its totient is φ = 5140968448.

The previous prime is 13012323283. The next prime is 13012323323. The reversal of 13012323320 is 2332321031.

13012323320 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 13012323292 and 13012323301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012323323) 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 15 ways as a sum of consecutive naturals, for example, 5634326 + ... + 5636634.

It is an arithmetic number, because the mean of its divisors is an integer number (463097250).

Almost surely, 213012323320 is an apocalyptic number.

13012323320 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 13012323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819112000).

13012323320 is an abundant number, since it is smaller than the sum of its proper divisors (16625900680).

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

13012323320 is a wasteful number, since it uses less digits than its factorization.

13012323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3988 counting only the distinct ones).

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

Adding to 13012323320 its reverse (2332321031), we get a palindrome (15344644351).

The spelling of 13012323320 in words is "thirteen billion, twelve million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1583 1780 2309 3166 3560 4618 6332 7915 9236 11545 12664 15830 18472 23090 31660 46180 63320 92360 140887 205501 281774 411002 563548 704435 822004 1027505 1127096 1408870 1644008 2055010 2817740 3655147 4110020 5635480 7310294 8220040 14620588 18275735 29241176 36551470 73102940 146205880 325308083 650616166 1301232332 1626540415 2602464664 3253080830 6506161660 13012323320