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311220301112 = 237171931555029
BaseRepresentation
bin1001000011101100010…
…11001110110100111000
31002202022110220101021222
410201312023032310320
520044334344113422
6354550031051212
731325220624440
oct4416613166470
91082273811258
10311220301112
1110aa95823626
1250397070b08
132346a59aa36
14110c539b120
158167767842
hex48762ced38

311220301112 has 128 divisors (see below), whose sum is σ = 767273472000. Its totient is φ = 115090606080.

The previous prime is 311220301079. The next prime is 311220301123. The reversal of 311220301112 is 211103022113.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283214 + ... + 838242.

It is an arithmetic number, because the mean of its divisors is an integer number (5994324000).

Almost surely, 2311220301112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311220301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383636736000).

311220301112 is an abundant number, since it is smaller than the sum of its proper divisors (456053170888).

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

311220301112 is a wasteful number, since it uses less digits than its factorization.

311220301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555109 (or 555105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 311220301112 its reverse (211103022113), we get a palindrome (522323323225).

The spelling of 311220301112 in words is "three hundred eleven billion, two hundred twenty million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 19 28 31 34 38 56 62 68 76 119 124 133 136 152 217 238 248 266 323 434 476 527 532 589 646 868 952 1054 1064 1178 1292 1736 2108 2261 2356 2584 3689 4123 4216 4522 4712 7378 8246 9044 10013 14756 16492 18088 20026 29512 32984 40052 70091 80104 140182 280364 555029 560728 1110058 2220116 3885203 4440232 7770406 9435493 10545551 15540812 17205899 18870986 21091102 31081624 34411798 37741972 42182204 66048451 68823596 73818857 75483944 84364408 120441293 132096902 137647192 147637714 179274367 240882586 264193804 292500283 295275428 326912081 358548734 481765172 528387608 585000566 590550856 653824162 717097468 963530344 1170001132 1254920569 1307648324 1434194936 2047501981 2288384567 2340002264 2509841138 2615296648 4095003962 4576769134 5019682276 5557505377 8190007924 9153538268 10039364552 11115010754 16380015848 18307076536 22230021508 38902537639 44460043016 77805075278 155610150556 311220301112