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10223213221 = 1318110134289
BaseRepresentation
bin10011000010101100…
…11101101010100101
3222101110210001002201
421201112131222211
5131414120310341
64410234534501
7511224610234
oct114126355245
928343701081
1010223213221
114376812451
121b93897431
13c6c0115c0
146cda68b1b
153ec7a0331
hex26159daa5

10223213221 has 16 divisors (see below), whose sum is σ = 11083952880. Its totient is φ = 9373224960.

The previous prime is 10223213173. The next prime is 10223213267. The reversal of 10223213221 is 12231232201.

10223213221 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 8 ways, for example, as 3603600900 + 6619612321 = 60030^2 + 81361^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10223213221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223213521) by changing a digit.

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, 2381445 + ... + 2385733.

It is an arithmetic number, because the mean of its divisors is an integer number (692747055).

Almost surely, 210223213221 is an apocalyptic number.

It is an amenable number.

10223213221 is a deficient number, since it is larger than the sum of its proper divisors (860739659).

10223213221 is a wasteful number, since it uses less digits than its factorization.

10223213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10223213221 its reverse (12231232201), we get a palindrome (22454445422).

The spelling of 10223213221 in words is "ten billion, two hundred twenty-three million, two hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 13 181 1013 2353 4289 13169 55757 183353 776309 2383589 4344757 10092017 56481841 786401017 10223213221