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2201311131144 = 23391721297131
BaseRepresentation
bin100000000010001000010…
…111100011011000001000
321210102222011020220021020
4200002020113203120020
5242031241122144034
64403133545112440
7315016353612606
oct40021027433010
97712864226236
102201311131144
11779630822244
122b6766788720
1312c7763b7b98
1478788b4c876
153c3db5e0249
hex200885e3608

2201311131144 has 16 divisors (see below), whose sum is σ = 5503277827920. Its totient is φ = 733770377040.

The previous prime is 2201311131133. The next prime is 2201311131233. The reversal of 2201311131144 is 4411311131022.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 91721297131 = 2201311131144 / (2 + 2 + 0 + 1 + 3 + 1 + 1 + 1 + 3 + 1 + 1 + 4 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45860648542 + ... + 45860648589.

It is an arithmetic number, because the mean of its divisors is an integer number (343954864245).

Almost surely, 22201311131144 is an apocalyptic number.

2201311131144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2201311131144 is an abundant number, since it is smaller than the sum of its proper divisors (3301966696776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2201311131144 is a wasteful number, since it uses less digits than its factorization.

2201311131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91721297140 (or 91721297136 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 2201311131144 its reverse (4411311131022), we get a palindrome (6612622262166).

The spelling of 2201311131144 in words is "two trillion, two hundred one billion, three hundred eleven million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 91721297131 183442594262 275163891393 366885188524 550327782786 733770377048 1100655565572 2201311131144