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120831841 = 13109269317
BaseRepresentation
bin1110011001110…
…11111101100001
322102100220010101
413030323331201
5221413104331
615553502401
72665024264
oct714737541
9272326111
10120831841
116222a829
1234571a01
131c058740
1412094cdb
15a91c061
hex733bf61

120831841 has 16 divisors (see below), whose sum is σ = 132224400. Its totient is φ = 109755648.

The previous prime is 120831839. The next prime is 120831853. The reversal of 120831841 is 148138021.

It can be written as a sum of positive squares in 8 ways, for example, as 41977441 + 78854400 = 6479^2 + 8880^2 .

It is a cyclic number.

It is not a de Polignac number, because 120831841 - 21 = 120831839 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120831871) 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 15 ways as a sum of consecutive naturals, for example, 381015 + ... + 381331.

It is an arithmetic number, because the mean of its divisors is an integer number (8264025).

Almost surely, 2120831841 is an apocalyptic number.

It is an amenable number.

120831841 is a deficient number, since it is larger than the sum of its proper divisors (11392559).

120831841 is a wasteful number, since it uses less digits than its factorization.

120831841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 120831841 is about 10992.3537515857. The cubic root of 120831841 is about 494.3795116216.

Adding to 120831841 its reverse (148138021), we get a palindrome (268969862).

It can be divided in two parts, 12083 and 1841, that added together give a square (13924 = 1182).

The spelling of 120831841 in words is "one hundred twenty million, eight hundred thirty-one thousand, eight hundred forty-one".

Divisors: 1 13 109 269 317 1417 3497 4121 29321 34553 85273 381173 449189 1108549 9294757 120831841