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120117417 = 3719129947
BaseRepresentation
bin1110010100011…
…01100010101001
322101000121010020
413022031202221
5221222224132
615530311053
72655660360
oct712154251
9271017106
10120117417
1161891aa2
1234288489
131bb684c4
1411d4a7d7
15a82a52c
hex728d8a9

120117417 has 16 divisors (see below), whose sum is σ = 184000512. Its totient is φ = 68276880.

The previous prime is 120117407. The next prime is 120117433. The reversal of 120117417 is 714711021.

It is not a de Polignac number, because 120117417 - 218 = 119855273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120117407) 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 15 ways as a sum of consecutive naturals, for example, 10963 + ... + 18984.

It is an arithmetic number, because the mean of its divisors is an integer number (11500032).

Almost surely, 2120117417 is an apocalyptic number.

It is an amenable number.

120117417 is a deficient number, since it is larger than the sum of its proper divisors (63883095).

120117417 is a wasteful number, since it uses less digits than its factorization.

120117417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30148.

The product of its (nonzero) digits is 392, while the sum is 24.

The square root of 120117417 is about 10959.8091680467. The cubic root of 120117417 is about 493.4032375478.

Adding to 120117417 its reverse (714711021), we get a palindrome (834828438).

The spelling of 120117417 in words is "one hundred twenty million, one hundred seventeen thousand, four hundred seventeen".

Divisors: 1 3 7 21 191 573 1337 4011 29947 89841 209629 628887 5719877 17159631 40039139 120117417