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120110013 = 3322719597
BaseRepresentation
bin1110010100010…
…11101110111101
322101000012222000
413022023232331
5221222010023
615530212513
72655626652
oct712135675
9271005860
10120110013
1161887481
1234284139
131bb6501a
1411d47c29
15a828243
hex728bbbd

120110013 has 16 divisors (see below), whose sum is σ = 178733760. Its totient is φ = 79716528.

The previous prime is 120109991. The next prime is 120110057. The reversal of 120110013 is 310011021.

It is not a de Polignac number, because 120110013 - 214 = 120093629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120109977 and 120110004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120110063) 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, 3670 + ... + 15927.

It is an arithmetic number, because the mean of its divisors is an integer number (11170860).

Almost surely, 2120110013 is an apocalyptic number.

It is an amenable number.

120110013 is a deficient number, since it is larger than the sum of its proper divisors (58623747).

120110013 is a wasteful number, since it uses less digits than its factorization.

120110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19833 (or 19827 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 120110013 is about 10959.4713832374. The cubic root of 120110013 is about 493.3930995991.

Adding to 120110013 its reverse (310011021), we get a palindrome (430121034).

The spelling of 120110013 in words is "one hundred twenty million, one hundred ten thousand, thirteen".

Divisors: 1 3 9 27 227 681 2043 6129 19597 58791 176373 529119 4448519 13345557 40036671 120110013