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1312002000012 = 22311172101340519
BaseRepresentation
bin10011000101111001011…
…010011100010010001100
311122102111200020020002010
4103011321122130102030
5132443440003000022
62442420404101220
7163534426665144
oct23057132342214
94572450206063
101312002000012
11466464a1a470
12192336994810
139694b7ac3b2
1447703567924
15241dc93d50c
hex1317969c48c

1312002000012 has 144 divisors (see below), whose sum is σ = 3582782542080. Its totient is φ = 370483584000.

The previous prime is 1312002000011. The next prime is 1312002000031. The reversal of 1312002000012 is 2100002002131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1312002000011) 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 47 ways as a sum of consecutive naturals, for example, 3682689 + ... + 4023207.

It is an arithmetic number, because the mean of its divisors is an integer number (24880434320).

Almost surely, 21312002000012 is an apocalyptic number.

1312002000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312002000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791391271040).

1312002000012 is an abundant number, since it is smaller than the sum of its proper divisors (2270780542068).

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

1312002000012 is a wasteful number, since it uses less digits than its factorization.

1312002000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340672 (or 340653 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1312002000012 its reverse (2100002002131), we get a palindrome (3412004002143).

The spelling of 1312002000012 in words is "one trillion, three hundred twelve billion, two million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 101 102 132 187 202 204 289 303 374 404 561 578 606 748 867 1111 1122 1156 1212 1717 1734 2222 2244 3179 3333 3434 3468 4444 5151 6358 6666 6868 9537 10302 12716 13332 18887 19074 20604 29189 37774 38148 56661 58378 75548 87567 113322 116756 175134 226644 321079 340519 350268 642158 681038 963237 1021557 1284316 1362076 1926474 2043114 3745709 3852948 4086228 5788823 7491418 11237127 11577646 14982836 17366469 22474254 23155292 34392419 34732938 44948508 63677053 68784838 69465876 98409991 103177257 127354106 137569676 191031159 196819982 206354514 254708212 295229973 378316609 382062318 393639964 412709028 584671123 590459946 756633218 764124636 1082509901 1134949827 1169342246 1180919892 1513266436 1754013369 2165019802 2269899654 2338684492 3247529703 3508026738 4330039604 4539799308 6431382353 6495059406 7016053476 9939409091 12862764706 12990118812 19294147059 19878818182 25725529412 29818227273 38588294118 39757636364 59636454546 77176588236 109333500001 119272909092 218667000002 328000500003 437334000004 656001000006 1312002000012