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10023240362805 = 325616373613717
BaseRepresentation
bin1001000111011011011110…
…1011100110101100110101
31022111012201212002000012100
42101312313223212230311
52303210044013102210
633152340230412313
72053104145230135
oct221666753465465
938435655060170
1010023240362805
11321491797462a
12115a6a2b01099
13579258c646a7
142691ad908ac5
15125ada3d15c0
hex91db7ae6b35

10023240362805 has 24 divisors (see below), whose sum is σ = 17373903306552. Its totient is φ = 5345639985024.

The previous prime is 10023240362791. The next prime is 10023240362813. The reversal of 10023240362805 is 50826304232001.

10023240362805 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 24 + 0 + 3 + 628 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1723163121 + 10021517199684 = 41511^2 + 3165678^2 .

It is not a de Polignac number, because 10023240362805 - 24 = 10023240362789 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10023240362805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966807 + ... + 4580523.

It is an arithmetic number, because the mean of its divisors is an integer number (723912637773).

Almost surely, 210023240362805 is an apocalyptic number.

10023240362805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10023240362805 is a deficient number, since it is larger than the sum of its proper divisors (7350662943747).

10023240362805 is a wasteful number, since it uses less digits than its factorization.

10023240362805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675365 (or 3675362 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10023240362805 its reverse (50826304232001), we get a palindrome (60849544594806).

The spelling of 10023240362805 in words is "ten trillion, twenty-three billion, two hundred forty million, three hundred sixty-two thousand, eight hundred five".

Divisors: 1 3 5 9 15 45 61637 184911 308185 554733 924555 2773665 3613717 10841151 18068585 32523453 54205755 162617265 222738674729 668216024187 1113693373645 2004648072561 3341080120935 10023240362805