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320000161 = 13375771153
BaseRepresentation
bin10011000100101…
…101000010100001
3211022010200200211
4103010231002201
51123410001121
651430414121
710633646035
oct2304550241
9738120624
10320000161
111546a4948
128b201341
13513b1310
14306dc1c5
151d15ece1
hex1312d0a1

320000161 has 16 divisors (see below), whose sum is σ = 354850384. Its totient is φ = 286654464.

The previous prime is 320000143. The next prime is 320000171. The reversal of 320000161 is 161000023.

It can be written as a sum of positive squares in 8 ways, for example, as 84070561 + 235929600 = 9169^2 + 15360^2 .

It is a 7-Lehmer number, since φ(320000161) divides (320000161-1)7.

It is a cyclic number.

It is not a de Polignac number, because 320000161 - 217 = 319869089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (320000171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276961 + ... + 278113.

It is an arithmetic number, because the mean of its divisors is an integer number (22178149).

Almost surely, 2320000161 is an apocalyptic number.

It is an amenable number.

320000161 is a deficient number, since it is larger than the sum of its proper divisors (34850223).

320000161 is a wasteful number, since it uses less digits than its factorization.

320000161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 320000161 is about 17888.5483200846. The cubic root of 320000161 is about 683.9904933815.

Adding to 320000161 its reverse (161000023), we get a palindrome (481000184).

The spelling of 320000161 in words is "three hundred twenty million, one hundred sixty-one", and thus it is an aban number.

Divisors: 1 13 37 481 577 1153 7501 14989 21349 42661 277537 554593 665281 8648653 24615397 320000161