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12010033001021 = 1143471493625759
BaseRepresentation
bin1010111011000100110111…
…0000000011001000111101
31120112010222211221100210212
42232301031300003020331
53033233021422013041
641313155532042205
72346460546062236
oct256611560031075
946463884840725
1012010033001021
113910476589a90
12141b75b903365
13691706192c93
142d740829208d
1515c61db4b8eb
hexaec4dc0323d

12010033001021 has 32 divisors (see below), whose sum is σ = 13783689216000. Its totient is φ = 10367347394880.

The previous prime is 12010033001017. The next prime is 12010033001027.

12010033001021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12010033001021 - 22 = 12010033001017 is a prime.

It is a super-2 number, since 2×120100330010212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12010033000987 and 12010033001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010033001027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499540 + ... + 5125298.

It is an arithmetic number, because the mean of its divisors is an integer number (430740288000).

Almost surely, 212010033001021 is an apocalyptic number.

12010033001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12010033001021 is a deficient number, since it is larger than the sum of its proper divisors (1773656214979).

12010033001021 is a wasteful number, since it uses less digits than its factorization.

12010033001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626009.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 1201003 and 3001021, that added together give a palindrome (4202024).

The spelling of 12010033001021 in words is "twelve trillion, ten billion, thirty-three million, one thousand, twenty-one".

Divisors: 1 11 43 47 149 473 517 1639 2021 6407 7003 22231 70477 77033 301129 3312419 3625759 39883349 155907637 170410673 540238091 1714984007 1874517403 5942619001 7327658939 23230237913 25391190277 80604248329 255532617043 279303093047 1091821181911 12010033001021