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311311121112 = 233219227566609
BaseRepresentation
bin1001000011110111001…
…01101011101011011000
31002202112210210111220200
410201323211223223120
520100031121333422
6355003033422200
731330402603665
oct4417345535330
91082483714820
10311311121112
11110032014a82
125040156a960
1323483348c94
14110d347ca6c
1581707072ac
hex487b96bad8

311311121112 has 48 divisors (see below), whose sum is σ = 887509779000. Its totient is φ = 98308774656.

The previous prime is 311311121089. The next prime is 311311121153. The reversal of 311311121112 is 211121113113.

It is a super-2 number, since 2×3113111211122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113781937 + ... + 113784672.

Almost surely, 2311311121112 is an apocalyptic number.

It is an amenable number.

311311121112 is an abundant number, since it is smaller than the sum of its proper divisors (576198657888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311311121112 is a wasteful number, since it uses less digits than its factorization.

311311121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227566640 (or 227566633 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 311311121112 its reverse (211121113113), we get a palindrome (522432234225).

The spelling of 311311121112 in words is "three hundred eleven billion, three hundred eleven million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 227566609 455133218 682699827 910266436 1365399654 1820532872 2048099481 2730799308 4096198962 4323765571 5461598616 8192397924 8647531142 12971296713 16384795848 17295062284 25942593426 34590124568 38913890139 51885186852 77827780278 103770373704 155655560556 311311121112