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311668418303 = 11181193811081
BaseRepresentation
bin1001000100100001110…
…00101010011011111111
31002210110201010002111222
410202100320222123333
520101244103341203
6355102315503555
731342301562524
oct4422070523377
91083421102458
10311668418303
111101a5773710
12504a1157bbb
132350c388738
1411128ac914b
158191c83038
hex4890e2a6ff

311668418303 has 16 divisors (see below), whose sum is σ = 343652199072. Its totient is φ = 280309248000.

The previous prime is 311668418287. The next prime is 311668418311. The reversal of 311668418303 is 303814866113.

It is a cyclic number.

It is not a de Polignac number, because 311668418303 - 24 = 311668418287 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311668418333) 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, 21278 + ... + 789803.

It is an arithmetic number, because the mean of its divisors is an integer number (21478262442).

Almost surely, 2311668418303 is an apocalyptic number.

311668418303 is a deficient number, since it is larger than the sum of its proper divisors (31983780769).

311668418303 is a wasteful number, since it uses less digits than its factorization.

311668418303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811466.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 311668418303 in words is "three hundred eleven billion, six hundred sixty-eight million, four hundred eighteen thousand, three hundred three".

Divisors: 1 11 181 193 1991 2123 34933 384263 811081 8921891 146805661 156538633 1614862271 1721924963 28333492573 311668418303