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120000161 = 1710616653
BaseRepresentation
bin1110010011100…
…00111010100001
322100210122021102
413021300322201
5221210001121
615524004145
72654661461
oct711607241
9270718242
10120000161
1161811996
1234230655
131bb27018
1411d19ba1
15a80590b
hex7270ea1

120000161 has 8 divisors (see below), whose sum is σ = 127197864. Its totient is φ = 112817920.

The previous prime is 120000137. The next prime is 120000169. The reversal of 120000161 is 161000021.

It can be written as a sum of positive squares in 4 ways, for example, as 10923025 + 109077136 = 3305^2 + 10444^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120000161 - 210 = 119999137 is a prime.

It is a super-4 number, since 4×1200001614 (a number of 33 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120000169) 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 7 ways as a sum of consecutive naturals, for example, 14711 + ... + 21363.

It is an arithmetic number, because the mean of its divisors is an integer number (15899733).

Almost surely, 2120000161 is an apocalyptic number.

It is an amenable number.

120000161 is a deficient number, since it is larger than the sum of its proper divisors (7197703).

120000161 is a wasteful number, since it uses less digits than its factorization.

120000161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 120000161 is about 10954.4584987118. The cubic root of 120000161 is about 493.2426354550.

Adding to 120000161 its reverse (161000021), we get a palindrome (281000182).

The spelling of 120000161 in words is "one hundred twenty million, one hundred sixty-one", and thus it is an aban number.

Divisors: 1 17 1061 6653 18037 113101 7058833 120000161