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120404421241 = 1341234196497
BaseRepresentation
bin111000000100010101…
…0011010101001111001
3102111210012011100010221
41300020222122221321
53433042012434431
6131151340340041
711461506460036
oct1601052325171
9374705140127
10120404421241
114707717a855
121b403244621
13b47ac16190
145b82d3c38d
1531ea73e111
hex1c08a9aa79

120404421241 has 16 divisors (see below), whose sum is σ = 132887009808. Its totient is φ = 108384307200.

The previous prime is 120404421233. The next prime is 120404421329. The reversal of 120404421241 is 142124404021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 48779139600 + 71625281641 = 220860^2 + 267629^2 .

It is not a de Polignac number, because 120404421241 - 23 = 120404421233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120404491241) 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, 1199505 + ... + 1296001.

It is an arithmetic number, because the mean of its divisors is an integer number (8305438113).

Almost surely, 2120404421241 is an apocalyptic number.

It is an amenable number.

120404421241 is a deficient number, since it is larger than the sum of its proper divisors (12482588567).

120404421241 is a wasteful number, since it uses less digits than its factorization.

120404421241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98892.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 120404421241 its reverse (142124404021), we get a palindrome (262528825262).

The spelling of 120404421241 in words is "one hundred twenty billion, four hundred four million, four hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 13 41 533 2341 30433 95981 96497 1247753 1254461 3956377 51432901 225899477 2936693201 9261878557 120404421241