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120402110114401 = 1737937720413597
BaseRepresentation
bin11011011000000101001101…
…000000001110101001100001
3120210022022220001220022201111
4123120011031000032221201
5111240132010142130101
61104023544340103321
734234523346566203
oct3330051500165141
9523268801808644
10120402110114401
1135400280312805
121160689b094b41
135224b40c877cb
1421a36c9592773
15ddbe06413251
hex6d814d00ea61

120402110114401 has 16 divisors (see below), whose sum is σ = 130944085878096. Its totient is φ = 110245176631296.

The previous prime is 120402110114393. The next prime is 120402110114431. The reversal of 120402110114401 is 104411011204021.

It can be written as a sum of positive squares in 8 ways, for example, as 24762805298176 + 95639304816225 = 4976224^2 + 9779535^2 .

It is a cyclic number.

It is not a de Polignac number, because 120402110114401 - 23 = 120402110114393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120402110114431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4308666 + ... + 16104931.

It is an arithmetic number, because the mean of its divisors is an integer number (8184005367381).

Almost surely, 2120402110114401 is an apocalyptic number.

It is an amenable number.

120402110114401 is a deficient number, since it is larger than the sum of its proper divisors (10541975763695).

120402110114401 is a wasteful number, since it uses less digits than its factorization.

120402110114401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20423028.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 120402110114401 its reverse (104411011204021), we get a palindrome (224813121318422).

The spelling of 120402110114401 in words is "one hundred twenty trillion, four hundred two billion, one hundred ten million, one hundred fourteen thousand, four hundred one".

Divisors: 1 17 37 629 9377 159409 346949 5898133 20413597 347031149 755303089 12840152513 191418299069 3254111084173 7082477065553 120402110114401