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312141122120004 = 2233110146317943439
BaseRepresentation
bin100011011111001000000010…
…0101101000010100101000100
31111221012101210111012011122220
41012332100010231002211010
5311403110004230320004
63023511352451052340
7122514310663643562
oct10676200455024504
91457171714164586
10312141122120004
1190504340a30871
122b01305a2a10b0
1310522a20cb0708
1457119d4a9ca32
152614790c55dd9
hex11be404b42944

312141122120004 has 96 divisors (see below), whose sum is σ = 760907506974720. Its totient is φ = 99478420272000.

The previous prime is 312141122119961. The next prime is 312141122120029. The reversal of 312141122120004 is 400021221141213.

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, 8424117 + ... + 26367555.

It is an arithmetic number, because the mean of its divisors is an integer number (7926119864320).

Almost surely, 2312141122120004 is an apocalyptic number.

It is an amenable number.

312141122120004 is an abundant number, since it is smaller than the sum of its proper divisors (448766384854716).

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

312141122120004 is a wasteful number, since it uses less digits than its factorization.

312141122120004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17944041 (or 17944039 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 312141122120004 its reverse (400021221141213), we get a palindrome (712162343261217).

The spelling of 312141122120004 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred twenty-two million, one hundred twenty thousand, four".

Divisors: 1 2 3 4 6 12 31 62 93 101 124 186 202 303 372 404 463 606 926 1212 1389 1852 2778 3131 5556 6262 9393 12524 14353 18786 28706 37572 43059 46763 57412 86118 93526 140289 172236 187052 280578 561156 1449653 2899306 4348959 5798612 8697918 17395836 17943439 35886878 53830317 71773756 107660634 215321268 556246609 1112493218 1668739827 1812287339 2224986436 3337479654 3624574678 5436862017 6674959308 7249149356 8307812257 10873724034 16615624514 21747448068 24923436771 33231249028 49846873542 56180907509 99693747084 112361815018 168542722527 224723630036 257542179967 337085445054 515084359934 674170890108 772626539901 839089037957 1030168719868 1545253079802 1678178075914 2517267113871 3090506159604 3356356151828 5034534227742 10069068455484 26011760176667 52023520353334 78035280530001 104047040706668 156070561060002 312141122120004