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10221103032 = 2337232645213
BaseRepresentation
bin10011000010011100…
…11010011110111000
3222101022210211110120
421201032122132320
5131413100244112
64410121413240
7511200641130
oct114116323670
928338724416
1010221103032
114375600a98
121b9303a220
13c6b752c7a
146cd679ac0
153ec4d4e8c
hex26139a7b8

10221103032 has 64 divisors (see below), whose sum is σ = 30472865280. Its totient is φ = 2793343872.

The previous prime is 10221103021. The next prime is 10221103049. The reversal of 10221103032 is 23030112201.

10221103032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1318743 + ... + 1326470.

It is an arithmetic number, because the mean of its divisors is an integer number (476138520).

Almost surely, 210221103032 is an apocalyptic number.

10221103032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221103032 is an abundant number, since it is smaller than the sum of its proper divisors (20251762248).

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

10221103032 is a wasteful number, since it uses less digits than its factorization.

10221103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645252 (or 2645248 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10221103032 its reverse (23030112201), we get a palindrome (33251215233).

The spelling of 10221103032 in words is "ten billion, two hundred twenty-one million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 2645213 5290426 7935639 10580852 15871278 18516491 21161704 31742556 37032982 55549473 60839899 63485112 74065964 111098946 121679798 148131928 182519697 222197892 243359596 365039394 425879293 444395784 486719192 730078788 851758586 1277637879 1460157576 1703517172 2555275758 3407034344 5110551516 10221103032