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312012042240032 = 251031371303530297
BaseRepresentation
bin100011011110001011111011…
…0111100011000000000100000
31111220202001121200121212102122
41012330113312330120000200
5311344001130303140112
63023332204201203412
7122502061162034111
oct10674276674300040
91456661550555378
10312012042240032
1190464622786512
122abb2035790568
13105137bc928504
14570966b8aa208
152611238a95872
hex11bc5f6f18020

312012042240032 has 96 divisors (see below), whose sum is σ = 625245472680192. Its totient is φ = 153245735645184.

The previous prime is 312012042240029. The next prime is 312012042240089. The reversal of 312012042240032 is 230042240210213.

It is a super-2 number, since 2×3120120422400322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312012042239983 and 312012042240010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588107108 + ... + 588637404.

It is an arithmetic number, because the mean of its divisors is an integer number (6512973673752).

Almost surely, 2312012042240032 is an apocalyptic number.

312012042240032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312012042240032 is an abundant number, since it is smaller than the sum of its proper divisors (313233430440160).

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

312012042240032 is a wasteful number, since it uses less digits than its factorization.

312012042240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531850 (or 531842 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 312012042240032 its reverse (230042240210213), we get a palindrome (542054282450245).

The spelling of 312012042240032 in words is "three hundred twelve trillion, twelve billion, forty-two million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 103 137 206 274 412 548 824 1096 1303 1648 2192 2606 3296 4384 5212 10424 14111 20848 28222 41696 56444 112888 134209 178511 225776 268418 357022 451552 530297 536836 714044 1060594 1073672 1428088 2121188 2147344 2856176 4242376 4294688 5712352 8484752 16969504 18386633 36773266 54620591 72650689 73546532 109241182 145301378 147093064 218482364 290602756 294186128 436964728 581205512 588372256 690976991 873929456 1162411024 1381953982 1747858912 2324822048 2763907964 5527815928 7483020967 11055631856 14966041934 22111263712 29932083868 59864167736 71170630073 94663847767 119728335472 142341260146 189327695534 239456670944 284682520292 378655391068 569365040584 757310782136 1138730081168 1514621564272 2277460162336 3029243128544 9750376320001 19500752640002 39001505280004 78003010560008 156006021120016 312012042240032