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131520342224 = 2461461292309
BaseRepresentation
bin111101001111100111…
…0010010100011010000
3110120110212201122002002
41322133032102203100
54123323201422344
6140230345213132
712334124314655
oct1723716224320
9416425648062
10131520342224
1150860893807
12215a5a911a8
13c52cb69c0b
146519385c2c
15364b57a44e
hex1e9f3928d0

131520342224 has 40 divisors (see below), whose sum is σ = 259560756840. Its totient is φ = 64541606400.

The previous prime is 131520342211. The next prime is 131520342251. The reversal of 131520342224 is 422243025131.

131520342224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7849960000 + 123670382224 = 88600^2 + 351668^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303782 + ... + 596090.

It is an arithmetic number, because the mean of its divisors is an integer number (6489018921).

Almost surely, 2131520342224 is an apocalyptic number.

It is an amenable number.

131520342224 is a deficient number, since it is larger than the sum of its proper divisors (128040414616).

131520342224 is a wasteful number, since it uses less digits than its factorization.

131520342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292839 (or 292833 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 131520342224 its reverse (422243025131), we get a palindrome (553763367355).

The spelling of 131520342224 in words is "one hundred thirty-one billion, five hundred twenty million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 61 122 244 461 488 922 976 1844 3688 7376 28121 56242 112484 224968 292309 449936 584618 1169236 2338472 4676944 17830849 35661698 71323396 134754449 142646792 269508898 285293584 539017796 1078035592 2156071184 8220021389 16440042778 32880085556 65760171112 131520342224