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120131341 = 1123726833
BaseRepresentation
bin1110010100100…
…00111100001101
322101001022012221
413022100330031
5221223200331
615530455341
72656046101
oct712207415
9271038187
10120131341
11618a1500
1234294551
131bb71945
1411d51901
15a82e711
hex7290f0d

120131341 has 12 divisors (see below), whose sum is σ = 135619036. Its totient is φ = 106254720.

The previous prime is 120131279. The next prime is 120131383. The reversal of 120131341 is 143131021.

It can be written as a sum of positive squares in 2 ways, for example, as 58446025 + 61685316 = 7645^2 + 7854^2 .

It is not a de Polignac number, because 120131341 - 27 = 120131213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120131441) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8940 + ... + 17893.

Almost surely, 2120131341 is an apocalyptic number.

120131341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120131341 is a deficient number, since it is larger than the sum of its proper divisors (15487695).

120131341 is a wasteful number, since it uses less digits than its factorization.

120131341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26892 (or 26881 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 120131341 is about 10960.4443796773. Note that the first 3 decimals coincide. The cubic root of 120131341 is about 493.4223018972.

Adding to 120131341 its reverse (143131021), we get a palindrome (263262362).

The spelling of 120131341 in words is "one hundred twenty million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 11 37 121 407 4477 26833 295163 992821 3246793 10921031 120131341