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1012313211312 = 2431310914883457
BaseRepresentation
bin11101011101100101001…
…00011100000110110000
310120202221211220100222110
432232302210130012300
5113041204140230222
62053014505205320
7133065031215204
oct16566244340660
93522854810873
101012313211312
11360357464897
12144239790840
13745cb2a55b0
1436dd38b6b04
151b4ec75530c
hexebb291c1b0

1012313211312 has 80 divisors (see below), whose sum is σ = 2842145139680. Its totient is φ = 308623343616.

The previous prime is 1012313211271. The next prime is 1012313211313. The reversal of 1012313211312 is 2131123132101.

It is a super-2 number, since 2×10123132113122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012313211313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7373713 + ... + 7509744.

It is an arithmetic number, because the mean of its divisors is an integer number (35526814246).

Almost surely, 21012313211312 is an apocalyptic number.

1012313211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012313211312 is an abundant number, since it is smaller than the sum of its proper divisors (1829831928368).

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

1012313211312 is a wasteful number, since it uses less digits than its factorization.

1012313211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14883590 (or 14883584 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1012313211312 its reverse (2131123132101), we get a palindrome (3143436343413).

The spelling of 1012313211312 in words is "one trillion, twelve billion, three hundred thirteen million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 109 156 208 218 312 327 436 624 654 872 1308 1417 1744 2616 2834 4251 5232 5668 8502 11336 17004 22672 34008 68016 14883457 29766914 44650371 59533828 89300742 119067656 178601484 193484941 238135312 357202968 386969882 580454823 714405936 773939764 1160909646 1547879528 1622296813 2321819292 3095759056 3244593626 4643638584 4866890439 6489187252 9287277168 9733780878 12978374504 19467561756 21089858569 25956749008 38935123512 42179717138 63269575707 77870247024 84359434276 126539151414 168718868552 253078302828 337437737104 506156605656 1012313211312