Search a number
-
+
320123011 = 13211316763
BaseRepresentation
bin10011000101001…
…011000010000011
3211022100221012211
4103011023002003
51123422414021
651433202551
710635000145
oct2305130203
9738327184
10320123011
1115477917a
128b260457
1351425200
1430730c95
151d1863e1
hex1314b083

320123011 has 12 divisors (see below), whose sum is σ = 349730568. Its totient is φ = 292865664.

The previous prime is 320122981. The next prime is 320123017. The reversal of 320123011 is 110321023.

It is not a de Polignac number, because 320123011 - 213 = 320114819 is a prime.

It is a super-2 number, since 2×3201230112 = 204957484343412242, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320122982 and 320123000.

It is not an unprimeable number, because it can be changed into a prime (320123017) 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 11 ways as a sum of consecutive naturals, for example, 10716 + ... + 27478.

It is an arithmetic number, because the mean of its divisors is an integer number (29144214).

Almost surely, 2320123011 is an apocalyptic number.

320123011 is a deficient number, since it is larger than the sum of its proper divisors (29607557).

320123011 is a wasteful number, since it uses less digits than its factorization.

320123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16902 (or 16889 counting only the distinct ones).

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

The square root of 320123011 is about 17891.9817516115. The cubic root of 320123011 is about 684.0780115473.

Adding to 320123011 its reverse (110321023), we get a palindrome (430444034).

The spelling of 320123011 in words is "three hundred twenty million, one hundred twenty-three thousand, eleven".

Divisors: 1 13 113 169 1469 16763 19097 217919 1894219 2832947 24624847 320123011