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10233222022013 = 172942409489449
BaseRepresentation
bin1001010011101001101110…
…0100000100001101111101
31100020021201211121111222112
42110322123210010031331
52320130114314201023
633433024410223405
72104216532000324
oct224723344041575
940207654544875
1010233222022013
113295981063061
121193325424b65
13592cb121bb93
1427540d5370bb
1512b2c9cde478
hex94e9b90437d

10233222022013 has 16 divisors (see below), whose sum is σ = 11209090230000. Its totient is φ = 9298916831232.

The previous prime is 10233222021977. The next prime is 10233222022033. The reversal of 10233222022013 is 31022022233201.

10233222022013 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 93563797924 + 10139658224089 = 305882^2 + 3184283^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10233222022013 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10233222022013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233222022033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20662913 + ... + 21152361.

It is an arithmetic number, because the mean of its divisors is an integer number (700568139375).

Almost surely, 210233222022013 is an apocalyptic number.

It is an amenable number.

10233222022013 is a deficient number, since it is larger than the sum of its proper divisors (975868207987).

10233222022013 is a wasteful number, since it uses less digits than its factorization.

10233222022013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531904.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10233222022013 its reverse (31022022233201), we get a palindrome (41255244255214).

The spelling of 10233222022013 in words is "ten trillion, two hundred thirty-three billion, two hundred twenty-two million, twenty-two thousand, thirteen".

Divisors: 1 17 29 493 42409 489449 720953 1229861 8320633 14194021 20907637 241298357 20757042641 352869724897 601954236589 10233222022013