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311322141 = 32132660873
BaseRepresentation
bin10010100011100…
…110011000011101
3210200210210200200
4102203212120131
51114144302031
650520414113
710500123504
oct2243463035
9720723620
10311322141
1114a807a29
1288317339
134c6633b0
142d4bd83b
151c4e88e6
hex128e661d

311322141 has 12 divisors (see below), whose sum is σ = 484279068. Its totient is φ = 191582784.

The previous prime is 311322103. The next prime is 311322157. The reversal of 311322141 is 141223113.

It can be written as a sum of positive squares in 2 ways, for example, as 145298916 + 166023225 = 12054^2 + 12885^2 .

It is not a de Polignac number, because 311322141 - 213 = 311313949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311322161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1330320 + ... + 1330553.

It is an arithmetic number, because the mean of its divisors is an integer number (40356589).

Almost surely, 2311322141 is an apocalyptic number.

It is an amenable number.

311322141 is a deficient number, since it is larger than the sum of its proper divisors (172956927).

311322141 is a wasteful number, since it uses less digits than its factorization.

311322141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660892 (or 2660889 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 311322141 is about 17644.3231947275. The cubic root of 311322141 is about 677.7507437325.

Adding to 311322141 its reverse (141223113), we get a palindrome (452545254).

The spelling of 311322141 in words is "three hundred eleven million, three hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 2660873 7982619 23947857 34591349 103774047 311322141