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311313441141 = 32139901247249
BaseRepresentation
bin1001000011110111011…
…10100010000101110101
31002202112222011101101200
410201323232202011311
520100032220104031
6355003155243113
731330431405633
oct4417356420565
91082488141350
10311313441141
1111003335a05a
12504022a9499
132348397bc91
14110d38c4353
158170a148e6
hex487bba2175

311313441141 has 12 divisors (see below), whose sum is σ = 449680003500. Its totient is φ = 207539971200.

The previous prime is 311313441091. The next prime is 311313441149. The reversal of 311313441141 is 141144313113.

311313441141 is a `hidden beast` number, since 3 + 113 + 134 + 411 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159021500625 + 152291940516 = 398775^2 + 390246^2 .

It is a de Polignac number, because none of the positive numbers 2k-311313441141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311313441149) 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, 1135485 + ... + 1382733.

It is an arithmetic number, because the mean of its divisors is an integer number (37473333625).

Almost surely, 2311313441141 is an apocalyptic number.

It is an amenable number.

311313441141 is a deficient number, since it is larger than the sum of its proper divisors (138366562359).

311313441141 is a wasteful number, since it uses less digits than its factorization.

311313441141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387156 (or 387153 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 311313441141 its reverse (141144313113), we get a palindrome (452457754254).

The spelling of 311313441141 in words is "three hundred eleven billion, three hundred thirteen million, four hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 9 139901 247249 419703 741747 1259109 2225241 34590382349 103771147047 311313441141