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120116607 = 3135415693
BaseRepresentation
bin1110010100011…
…01010101111111
322101000120000020
413022031111333
5221222212412
615530303223
72655655122
oct712152577
9271016006
10120116607
1161891426
1234287b13
131bb68020
1411d4a3b9
15a82a18c
hex728d57f

120116607 has 16 divisors (see below), whose sum is σ = 172824288. Its totient is φ = 73768320.

The previous prime is 120116561. The next prime is 120116617. The reversal of 120116607 is 706611021.

It is not a de Polignac number, because 120116607 - 226 = 53007743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120116617) 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, 18253 + ... + 23945.

It is an arithmetic number, because the mean of its divisors is an integer number (10801518).

Almost surely, 2120116607 is an apocalyptic number.

120116607 is a deficient number, since it is larger than the sum of its proper divisors (52707681).

120116607 is a wasteful number, since it uses less digits than its factorization.

120116607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 120116607 is about 10959.7722147862. The cubic root of 120116607 is about 493.4021284732.

Adding to 120116607 its reverse (706611021), we get a palindrome (826727628).

The spelling of 120116607 in words is "one hundred twenty million, one hundred sixteen thousand, six hundred seven".

Divisors: 1 3 13 39 541 1623 5693 7033 17079 21099 74009 222027 3079913 9239739 40038869 120116607