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12000100001001 = 3717192541717189
BaseRepresentation
bin1010111010011111110110…
…1100101010010011101001
31120111012100121020200101020
42232213331230222103221
53033102201100013001
641304434141243053
72345656444010430
oct256477554522351
946435317220336
1012000100001001
113907239677062
121419849263489
136907b2333988
142d6b44db0117
1515c23bac5736
hexae9fdb2a4e9

12000100001001 has 96 divisors (see below), whose sum is σ = 20439126731520. Its totient is φ = 6112675418112.

The previous prime is 12000100000943. The next prime is 12000100001017. The reversal of 12000100001001 is 10010000100021.

It is not a de Polignac number, because 12000100001001 - 218 = 12000099738857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12000100001081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 698118115 + ... + 698135303.

It is an arithmetic number, because the mean of its divisors is an integer number (212907570120).

Almost surely, 212000100001001 is an apocalyptic number.

It is an amenable number.

12000100001001 is a deficient number, since it is larger than the sum of its proper divisors (8439026730519).

12000100001001 is a wasteful number, since it uses less digits than its factorization.

12000100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22671 (or 22652 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 12000100001001 its reverse (10010000100021), we get a palindrome (22010100101022).

The spelling of 12000100001001 in words is "twelve trillion, one hundred million, one thousand, one".

Divisors: 1 3 7 17 19 21 51 57 119 133 323 357 361 399 969 1083 2261 2527 5417 6137 6783 7581 16251 17189 18411 37919 42959 51567 92089 102923 113757 120323 128877 276267 292213 308769 326591 360969 644623 720461 876639 979773 1749691 1933869 1955537 2045491 2161383 2286137 5249073 5552047 5866611 6136473 6205229 6858411 12247837 13688759 16656141 18615687 33244129 36743511 38864329 41066277 43436603 93112813 99732387 105488893 116592987 130309809 232708903 279338439 316466679 651789691 698126709 738422251 1582917821 1769143447 1955369073 2215266753 4748753463 5307430341 11080424747 12384004129 30075438599 33241274241 33613725493 37152012387 90226315797 100841176479 210528070193 235296078451 571433333381 631584210579 705888235353 1714300000143 4000033333667 12000100001001