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13223042020 = 22519413112729
BaseRepresentation
bin11000101000010011…
…11001101111100100
31021010112111010121001
430110021321233210
5204040044321040
610024035403044
7645452000626
oct142411715744
937115433531
1013223042020
115676076201
122690453484
131329665c26
148d6228c16
15525d0d59a
hex314279be4

13223042020 has 96 divisors (see below), whose sum is σ = 30050092800. Its totient is φ = 4871116800.

The previous prime is 13223041961. The next prime is 13223042069. The reversal of 13223042020 is 2024032231.

13223042020 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 (19).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4844016 + ... + 4846744.

It is an arithmetic number, because the mean of its divisors is an integer number (313021800).

Almost surely, 213223042020 is an apocalyptic number.

13223042020 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 13223042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025046400).

13223042020 is an abundant number, since it is smaller than the sum of its proper divisors (16827050780).

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

13223042020 is a wasteful number, since it uses less digits than its factorization.

13223042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 13223042020 its reverse (2024032231), we get a palindrome (15247074251).

The spelling of 13223042020 in words is "thirteen billion, two hundred twenty-three million, forty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 311 380 410 622 779 820 1244 1555 1558 2729 3110 3116 3895 5458 5909 6220 7790 10916 11818 12751 13645 15580 23636 25502 27290 29545 51004 51851 54580 59090 63755 103702 111889 118180 127510 207404 223778 242269 255020 259255 447556 484538 518510 559445 848719 969076 1037020 1118890 1211345 1697438 2125891 2237780 2422690 3394876 4243595 4251782 4845380 8487190 8503564 10629455 16125661 16974380 21258910 32251322 34797479 42517820 64502644 69594958 80628305 139189916 161256610 173987395 322513220 347974790 661152101 695949580 1322304202 2644608404 3305760505 6611521010 13223042020