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12000101011011 = 332232131935261
BaseRepresentation
bin1010111010011111110111…
…0000100000111001000011
31120111012100200010222212000
42232213331300200321003
53033102201324323021
641304434215035043
72345656455415161
oct256477560407103
946435320128760
1012000101011011
11390723a1a6983
12141984966ba83
136907b25c8609
142d6b45194231
1515c23bc24b26
hexae9fdc20e43

12000101011011 has 32 divisors (see below), whose sum is σ = 17866048112640. Its totient is φ = 7960446784800.

The previous prime is 12000101010983. The next prime is 12000101011057. The reversal of 12000101011011 is 11011010100021.

It is not a de Polignac number, because 12000101011011 - 214 = 12000100994627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000101010984 and 12000101011002.

It is not an unprimeable number, because it can be changed into a prime (12000101011211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12363121 + ... + 13298381.

It is an arithmetic number, because the mean of its divisors is an integer number (558314003520).

Almost surely, 212000101011011 is an apocalyptic number.

12000101011011 is a deficient number, since it is larger than the sum of its proper divisors (5865947101629).

12000101011011 is a wasteful number, since it uses less digits than its factorization.

12000101011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937624 (or 937618 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12000101011011 its reverse (11011010100021), we get a palindrome (23011111111032).

The spelling of 12000101011011 in words is "twelve trillion, one hundred one million, eleven thousand, eleven".

Divisors: 1 3 9 27 223 669 2007 2131 6021 6393 19179 57537 475213 935261 1425639 2805783 4276917 8417349 12830751 25252047 208563203 625689609 1877068827 1993041191 5631206481 5979123573 17937370719 53812112157 444448185593 1333344556779 4000033670337 12000101011011