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444113022110131 = 111719591312122401
BaseRepresentation
bin110010011111010110001111…
…0111011000100100110110011
32011020110210100002220220111101
41210332230132323010212303
5431202321432130011011
64212314412241225231
7162355051462053403
oct14476543673044663
92136423302826441
10444113022110131
11119565302a84520
12419880b4632217
13160a68a826408a
147b95283766803
1536525eb3ad2c1
hex193eb1eec49b3

444113022110131 has 16 divisors (see below), whose sum is σ = 512988825332448. Its totient is φ = 379987780608000.

The previous prime is 444113022110129. The next prime is 444113022110159. The reversal of 444113022110131 is 131011220311444.

It is a cyclic number.

It is not a de Polignac number, because 444113022110131 - 21 = 444113022110129 is a prime.

It is a super-2 number, since 2×4441130221101312 (a number of 30 digits) contains 22 as substring.

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 444113022110131.

It is not an unprimeable number, because it can be changed into a prime (444113029110131) 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, 30574531 + ... + 42696931.

It is an arithmetic number, because the mean of its divisors is an integer number (32061801583278).

Almost surely, 2444113022110131 is an apocalyptic number.

444113022110131 is a deficient number, since it is larger than the sum of its proper divisors (68875803222317).

444113022110131 is a wasteful number, since it uses less digits than its factorization.

444113022110131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12318342.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 444113022110131 its reverse (131011220311444), we get a palindrome (575124242421575).

The spelling of 444113022110131 in words is "four hundred forty-four trillion, one hundred thirteen billion, twenty-two million, one hundred ten thousand, one hundred thirty-one".

Divisors: 1 11 17 187 195913 2155043 3330521 12122401 36635731 133346411 206080817 2266888987 2374935947113 26124295418243 40373911100921 444113022110131