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12040418181 = 3111731169011
BaseRepresentation
bin10110011011010101…
…00011001110000101
31011002010011121200010
423031222203032011
5144124321340211
65310431540433
7604241603001
oct131552431605
934063147603
1012040418181
115119558430
12240038a719
13119b6467cc
1482313d701
154a70a64a6
hex2cdaa3385

12040418181 has 32 divisors (see below), whose sum is σ = 18603426816. Its totient is φ = 6845792000.

The previous prime is 12040418179. The next prime is 12040418209. The reversal of 12040418181 is 18181404021.

12040418181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12040418181 - 21 = 12040418179 is a prime.

It is a super-2 number, since 2×120404181812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040418171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139966 + ... + 208976.

It is an arithmetic number, because the mean of its divisors is an integer number (581357088).

Almost surely, 212040418181 is an apocalyptic number.

12040418181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12040418181 is a deficient number, since it is larger than the sum of its proper divisors (6563008635).

12040418181 is a wasteful number, since it uses less digits than its factorization.

12040418181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69353.

The product of its (nonzero) digits is 2048, while the sum is 30.

The spelling of 12040418181 in words is "twelve billion, forty million, four hundred eighteen thousand, one hundred eighty-one".

Divisors: 1 3 11 17 33 51 187 311 561 933 3421 5287 10263 15861 58157 69011 174471 207033 759121 1173187 2277363 3519561 12905057 21462421 38715171 64387263 236086631 364861157 708259893 1094583471 4013472727 12040418181