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10221321032 = 231398281933
BaseRepresentation
bin10011000010011110…
…01111101101001000
3222101100012220111122
421201033033231020
5131413124233112
64410130214412
7511202536526
oct114117175510
928340186448
1010221321032
11437573a85a
121b93124408
13c6b7cb270
146cd6d5316
153ec529872
hex2613cfb48

10221321032 has 16 divisors (see below), whose sum is σ = 20639206140. Its totient is φ = 4717532736.

The previous prime is 10221321007. The next prime is 10221321067. The reversal of 10221321032 is 23012312201.

10221321032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7328387236 + 2892933796 = 85606^2 + 53786^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10221321032.

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 3 ways as a sum of consecutive naturals, for example, 49140863 + ... + 49141070.

Almost surely, 210221321032 is an apocalyptic number.

It is an amenable number.

10221321032 is an abundant number, since it is smaller than the sum of its proper divisors (10417885108).

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

10221321032 is a wasteful number, since it uses less digits than its factorization.

10221321032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98281952 (or 98281948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10221321032 its reverse (23012312201), we get a palindrome (33233633233).

The spelling of 10221321032 in words is "ten billion, two hundred twenty-one million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 98281933 196563866 393127732 786255464 1277665129 2555330258 5110660516 10221321032