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320032141 = 111311032029
BaseRepresentation
bin10011000100110…
…100110110001101
3211022012022120021
4103010310312031
51123412012031
651431222141
710634141212
oct2304646615
9738168507
10320032141
11154716980
128b217951
13513c2a40
1430709b09
151d169511
hex13134d8d

320032141 has 16 divisors (see below), whose sum is σ = 376508160. Its totient is φ = 268182720.

The previous prime is 320032099. The next prime is 320032177. The reversal of 320032141 is 141230023.

It is a happy number.

It is not a de Polignac number, because 320032141 - 211 = 320030093 is a prime.

It is a super-3 number, since 3×3200321413 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320032841) 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, 156715 + ... + 158743.

It is an arithmetic number, because the mean of its divisors is an integer number (23531760).

Almost surely, 2320032141 is an apocalyptic number.

It is an amenable number.

320032141 is a deficient number, since it is larger than the sum of its proper divisors (56476019).

320032141 is a wasteful number, since it uses less digits than its factorization.

320032141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 320032141 is about 17889.4421657021. The cubic root of 320032141 is about 684.0132780444.

Adding to 320032141 its reverse (141230023), we get a palindrome (461262164).

The spelling of 320032141 in words is "three hundred twenty million, thirty-two thousand, one hundred forty-one".

Divisors: 1 11 13 143 1103 2029 12133 14339 22319 26377 157729 290147 2237987 24617857 29093831 320032141