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12301221141 = 331141418253
BaseRepresentation
bin10110111010011010…
…11011110100010101
31011202021220210002000
423131031123310111
5200143103034031
65352345505513
7613556440326
oct133515336425
934667823060
1012301221141
11524279a570
1224737a2299
13121069c3a1
14849a2c44d
154bee213e6
hex2dd35bd15

12301221141 has 16 divisors (see below), whose sum is σ = 19880761920. Its totient is φ = 7455285360.

The previous prime is 12301221133. The next prime is 12301221151. The reversal of 12301221141 is 14112210321.

12301221141 is a `hidden beast` number, since 1 + 2 + 301 + 221 + 141 = 666.

It is not a de Polignac number, because 12301221141 - 23 = 12301221133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301221151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20708830 + ... + 20709423.

It is an arithmetic number, because the mean of its divisors is an integer number (1242547620).

Almost surely, 212301221141 is an apocalyptic number.

12301221141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12301221141 is a deficient number, since it is larger than the sum of its proper divisors (7579540779).

12301221141 is a wasteful number, since it uses less digits than its factorization.

12301221141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41418273 (or 41418267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12301221141 its reverse (14112210321), we get a palindrome (26413431462).

The spelling of 12301221141 in words is "twelve billion, three hundred one million, two hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 41418253 124254759 372764277 455600783 1118292831 1366802349 4100407047 12301221141