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131120242144 = 2519402153633
BaseRepresentation
bin111101000011101100…
…0000001110111100000
3110112102222212102221121
41322013120001313200
54122013240222034
6140122533502024
712321165445303
oct1720730016740
9415388772847
10131120242144
1150675a5a691
12214b3aa1914
13c497cc1bc8
1464bc196b3a
1536263971b4
hex1e87601de0

131120242144 has 48 divisors (see below), whose sum is σ = 271802094480. Its totient is φ = 62092984320.

The previous prime is 131120242103. The next prime is 131120242147. The reversal of 131120242144 is 441242021131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120242147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2417952 + ... + 2471584.

It is an arithmetic number, because the mean of its divisors is an integer number (5662543635).

Almost surely, 2131120242144 is an apocalyptic number.

It is an amenable number.

131120242144 is an abundant number, since it is smaller than the sum of its proper divisors (140681852336).

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

131120242144 is a wasteful number, since it uses less digits than its factorization.

131120242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57683 (or 57675 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 131120242144 its reverse (441242021131), we get a palindrome (572362263275).

The spelling of 131120242144 in words is "one hundred thirty-one billion, one hundred twenty million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 4021 8042 16084 32168 53633 64336 76399 107266 128672 152798 214532 305596 429064 611192 858128 1019027 1222384 1716256 2038054 2444768 4076108 8152216 16304432 32608864 215658293 431316586 862633172 1725266344 3450532688 4097507567 6901065376 8195015134 16390030268 32780060536 65560121072 131120242144