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320114431 = 71314923609
BaseRepresentation
bin10011000101001…
…000111011111111
3211022100111110001
4103011020323333
51123422130211
651433055131
710634633140
oct2305107377
9738314401
10320114431
1115477278a
128b2574a7
1351421330
143072bac7
151d183ac1
hex13148eff

320114431 has 16 divisors (see below), whose sum is σ = 396648000. Its totient is φ = 251566848.

The previous prime is 320114411. The next prime is 320114461. The reversal of 320114431 is 134411023.

It is not a de Polignac number, because 320114431 - 27 = 320114303 is a prime.

It is a super-2 number, since 2×3201144312 = 204946497868907522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320114399 and 320114408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320114411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755 + ... + 25363.

It is an arithmetic number, because the mean of its divisors is an integer number (24790500).

Almost surely, 2320114431 is an apocalyptic number.

320114431 is a deficient number, since it is larger than the sum of its proper divisors (76533569).

320114431 is a wasteful number, since it uses less digits than its factorization.

320114431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23778.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 320114431 is about 17891.7419777952. The cubic root of 320114431 is about 684.0718998949.

Adding to 320114431 its reverse (134411023), we get a palindrome (454525454).

The spelling of 320114431 in words is "three hundred twenty million, one hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 7 13 91 149 1043 1937 13559 23609 165263 306917 2148419 3517741 24624187 45730633 320114431