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10033202221 = 72204759229
BaseRepresentation
bin10010101100000011…
…01000010000101101
3221220020020111000021
421112001220100231
5131021444432341
64335330202141
7503426545300
oct112601502055
927806214007
1010033202221
114289532369
121b40123351
13c3b843b63
146b2726b37
153dac6a9d1
hex25606842d

10033202221 has 6 divisors (see below), whose sum is σ = 11671276110. Its totient is φ = 8599887576.

The previous prime is 10033202203. The next prime is 10033202227. The reversal of 10033202221 is 12220233001.

It can be written as a sum of positive squares in only one way, i.e., 7834905225 + 2198296996 = 88515^2 + 46886^2 .

It is not a de Polignac number, because 10033202221 - 27 = 10033202093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10033202195 and 10033202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033202227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102379566 + ... + 102379663.

It is an arithmetic number, because the mean of its divisors is an integer number (1945212685).

Almost surely, 210033202221 is an apocalyptic number.

It is an amenable number.

10033202221 is a deficient number, since it is larger than the sum of its proper divisors (1638073889).

10033202221 is an equidigital number, since it uses as much as digits as its factorization.

10033202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204759243 (or 204759236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10033202221 its reverse (12220233001), we get a palindrome (22253435222).

The spelling of 10033202221 in words is "ten billion, thirty-three million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 7 49 204759229 1433314603 10033202221