Search a number
-
+
122065117 = 1723714397
BaseRepresentation
bin1110100011010…
…01000011011101
322111200112212021
413101221003131
5222222040432
620040140141
73011351656
oct721510335
9274615767
10122065117
11629a2369
1234a67651
131c39aba5
14122d652d
15aab2697
hex74690dd

122065117 has 16 divisors (see below), whose sum is σ = 136795392. Its totient is φ = 108317440.

The previous prime is 122065103. The next prime is 122065127. The reversal of 122065117 is 711560221.

It is a cyclic number.

It is not a de Polignac number, because 122065117 - 215 = 122032349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122065091 and 122065100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122065127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25563 + ... + 29959.

It is an arithmetic number, because the mean of its divisors is an integer number (8549712).

Almost surely, 2122065117 is an apocalyptic number.

122065117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

122065117 is a deficient number, since it is larger than the sum of its proper divisors (14730275).

122065117 is a wasteful number, since it uses less digits than its factorization.

122065117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 122065117 is about 11048.3083320479. The cubic root of 122065117 is about 496.0557909082.

The spelling of 122065117 in words is "one hundred twenty-two million, sixty-five thousand, one hundred seventeen".

Divisors: 1 17 23 71 391 1207 1633 4397 27761 74749 101131 312187 1719227 5307179 7180301 122065117