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13022021030312 = 2374114333957859
BaseRepresentation
bin1011110101111110110011…
…1100000001000110101000
31201002220010000221202220202
42331133230330001012220
53201323044340432222
643410122303411332
72512544551310060
oct275375474010650
951086100852822
1013022021030312
11417067642a7a8
1215639085b3b48
13735c81c91778
143303aa8bc3a0
15178aeca6b892
hexbd7ecf011a8

13022021030312 has 64 divisors (see below), whose sum is σ = 28604879049600. Its totient is φ = 5440946549760.

The previous prime is 13022021030279. The next prime is 13022021030339. The reversal of 13022021030312 is 21303012022031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311239 + ... + 5269097.

It is an arithmetic number, because the mean of its divisors is an integer number (446951235150).

Almost surely, 213022021030312 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 13022021030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302439524800).

13022021030312 is an abundant number, since it is smaller than the sum of its proper divisors (15582858019288).

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

13022021030312 is a wasteful number, since it uses less digits than its factorization.

13022021030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959346 (or 3959342 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13022021030312 its reverse (21303012022031), we get a palindrome (34325033052343).

The spelling of 13022021030312 in words is "thirteen trillion, twenty-two billion, twenty-one million, thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 1433 2296 2866 5732 10031 11464 20062 40124 58753 80248 117506 235012 411271 470024 822542 1645084 3290168 3957859 7915718 15831436 27705013 31662872 55410026 110820052 162272219 221640104 324544438 649088876 1135905533 1298177752 2271811066 4543622132 5671611947 9087244264 11343223894 22686447788 39701283629 45372895576 79402567258 158805134516 232536089827 317610269032 465072179654 930144359308 1627752628789 1860288718616 3255505257578 6511010515156 13022021030312