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12003101031112 = 2317376413721301
BaseRepresentation
bin1010111010101011000010…
…0100101011101011001000
31120111111002202012210202121
42232222300210223223020
53033124322330443422
641310052023541024
72346124014233362
oct256526044535310
946444082183677
1012003101031112
113908539680434
12141a3462ba774
13690b6ccb9039
142d6d4b7a3d32
1515c3652be8c7
hexaeab092bac8

12003101031112 has 64 divisors (see below), whose sum is σ = 24511918569840. Its totient is φ = 5487280128000.

The previous prime is 12003101031107. The next prime is 12003101031113. The reversal of 12003101031112 is 21113010130021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11940107058916 + 62993972196 = 3455446^2 + 250986^2 .

It is not an unprimeable number, because it can be changed into a prime (12003101031113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364862 + ... + 5086162.

Almost surely, 212003101031112 is an apocalyptic number.

It is an amenable number.

12003101031112 is an abundant number, since it is smaller than the sum of its proper divisors (12508817538728).

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

12003101031112 is a wasteful number, since it uses less digits than its factorization.

12003101031112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722002 (or 3721998 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12003101031112 its reverse (21113010130021), we get a palindrome (33116111161133).

The spelling of 12003101031112 in words is "twelve trillion, three billion, one hundred one million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 17 34 37 68 74 136 148 296 629 641 1258 1282 2516 2564 5032 5128 10897 21794 23717 43588 47434 87176 94868 189736 403189 806378 1612756 3225512 3721301 7442602 14885204 29770408 63262117 126524234 137688137 253048468 275376274 506096936 550752548 1101505096 2340698329 2385353941 4681396658 4770707882 9362793316 9541415764 18725586632 19082831528 40551016997 81102033994 88258095817 162204067988 176516191634 324408135976 353032383268 706064766536 1500387628889 3000775257778 6001550515556 12003101031112