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10444411222031 = 891372332736721
BaseRepresentation
bin1001011111111100011101…
…1010111011100000001111
31100222110211222100110100102
42113333013122323200033
52332110123233101111
634114032443521315
72125404150403613
oct227770732734017
940873758313312
1010444411222031
1133674a49388a6
12120824422923b
135a9b9970ac67
14281725699343
15131a3a72713b
hex97fc76bb80f

10444411222031 has 16 divisors (see below), whose sum is σ = 10639603134720. Its totient is φ = 10250959656960.

The previous prime is 10444411221977. The next prime is 10444411222033. The reversal of 10444411222031 is 13022211444401.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10444411222031 is a prime.

It is a super-3 number, since 3×104444112220313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10444411221985 and 10444411222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444411222033) 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, 284407751 + ... + 284444471.

It is an arithmetic number, because the mean of its divisors is an integer number (664975195920).

Almost surely, 210444411222031 is an apocalyptic number.

10444411222031 is a deficient number, since it is larger than the sum of its proper divisors (195191912689).

10444411222031 is a wasteful number, since it uses less digits than its factorization.

10444411222031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60274.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 10444411222031 its reverse (13022211444401), we get a palindrome (23466622666432).

The spelling of 10444411222031 in words is "ten trillion, four hundred forty-four billion, four hundred eleven million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 89 137 12193 23327 36721 2076103 3195799 3268169 5030777 284426111 447739153 856590767 76236578263 117352935079 10444411222031