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12821531620041 = 3319718671291117
BaseRepresentation
bin1011101010010011111011…
…0101100111001011001001
31200101201121120202110202000
42322210332311213023021
53140031444043320131
643134044051501213
72462216335403004
oct272447665471311
950351546673660
1012821531620041
1140a3643385401
121530a94bb7809
137200b0457621
143247cb80053b
151737b6671ce6
hexba93ed672c9

12821531620041 has 32 divisors (see below), whose sum is σ = 19101522718080. Its totient is φ = 8499736824768.

The previous prime is 12821531620021. The next prime is 12821531620043. The reversal of 12821531620041 is 14002613512821.

12821531620041 is a `hidden beast` number, since 1 + 2 + 8 + 21 + 5 + 3 + 1 + 620 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 12821531620041 - 215 = 12821531587273 is a prime.

It is a super-2 number, since 2×128215316200412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12821531619978 and 12821531620005.

It is not an unprimeable number, because it can be changed into a prime (12821531620043) 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, 9285015 + ... + 10576131.

It is an arithmetic number, because the mean of its divisors is an integer number (596922584940).

Almost surely, 212821531620041 is an apocalyptic number.

It is an amenable number.

12821531620041 is a deficient number, since it is larger than the sum of its proper divisors (6279991098039).

12821531620041 is a wasteful number, since it uses less digits than its factorization.

12821531620041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293190 (or 1293184 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12821531620041 in words is "twelve trillion, eight hundred twenty-one billion, five hundred thirty-one million, six hundred twenty thousand, forty-one".

Divisors: 1 3 9 27 197 591 1773 1867 5319 5601 16803 50409 367799 1103397 1291117 3310191 3873351 9930573 11620053 34860159 254350049 763050147 2289150441 2410515439 6867451323 7231546317 21694638951 65083916853 474871541483 1424614624449 4273843873347 12821531620041