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10023231331413 = 3219521112505543
BaseRepresentation
bin1001000111011011011100…
…1001001001110001010101
31022111012201020002011110100
42101312313021021301111
52303210034210101123
633152335305044313
72053104005403426
oct221666711116125
938435636064410
1010023231331413
113214912866173
12115a69ba86699
13579257121981
142691ac63764d
15125ad96ea643
hex91db7249c55

10023231331413 has 24 divisors (see below), whose sum is σ = 15269252431680. Its totient is φ = 6318311238720.

The previous prime is 10023231331403. The next prime is 10023231331417. The reversal of 10023231331413 is 31413313232001.

10023231331413 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 32 + 313 + 314 + 1 + 3 = 666.

10023231331413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10023231331413 - 24 = 10023231331397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023231331417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56163681 + ... + 56341862.

It is an arithmetic number, because the mean of its divisors is an integer number (636218851320).

Almost surely, 210023231331413 is an apocalyptic number.

It is an amenable number.

10023231331413 is a deficient number, since it is larger than the sum of its proper divisors (5246021100267).

10023231331413 is a wasteful number, since it uses less digits than its factorization.

10023231331413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112506089 (or 112506086 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10023231331413 its reverse (31413313232001), we get a palindrome (41436544563414).

The spelling of 10023231331413 in words is "ten trillion, twenty-three billion, two hundred thirty-one million, three hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 9 19 57 171 521 1563 4689 9899 29697 89091 112505543 337516629 1012549887 2137605317 6412815951 19238447853 58615387903 175846163709 527538491127 1113692370157 3341077110471 10023231331413