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10442213043041 = 1329412447276079
BaseRepresentation
bin1001011111110100010001…
…1001100010101101100001
31100222021011210002101122202
42113331010121202231201
52332041123014334131
634113030401142545
72125265526240533
oct227750431425541
940867153071582
1010442213043041
11336657704244a
12120793002aa55
135a9909196430
14281597773853
1513195c769bcb
hex97f44662b61

10442213043041 has 32 divisors (see below), whose sum is σ = 11921885337600. Its totient is φ = 9075854430720.

The previous prime is 10442213043001. The next prime is 10442213043103. The reversal of 10442213043041 is 14034031224401.

10442213043041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10442213043041 - 26 = 10442213042977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 10442213042995 and 10442213043013.

It is not an unprimeable number, because it can be changed into a prime (10442213043001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37685240 + ... + 37961318.

It is an arithmetic number, because the mean of its divisors is an integer number (372558916800).

Almost surely, 210442213043041 is an apocalyptic number.

It is an amenable number.

10442213043041 is a deficient number, since it is larger than the sum of its proper divisors (1479672294559).

10442213043041 is a wasteful number, since it uses less digits than its factorization.

10442213043041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278609.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10442213043041 its reverse (14034031224401), we get a palindrome (24476244267442).

The spelling of 10442213043041 in words is "ten trillion, four hundred forty-two billion, two hundred thirteen million, forty-three thousand, forty-one".

Divisors: 1 13 29 41 377 533 1189 2447 15457 31811 70963 100327 276079 922519 1304251 2909483 3589027 8006291 11319239 37823279 104081783 147150107 328257931 675565313 4267353103 8782349069 19591394077 27698177833 254688123001 360076311829 803247157157 10442213043041