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12002133114 = 2324116263053
BaseRepresentation
bin10110010110110001…
…00000010001111010
31010222110010112102200
423023120200101322
5144040021224424
65302543211030
7603265306506
oct131330402172
933873115380
1012002133114
1150a9989284
1223ab5a6a76
13119373071a
1481c015306
154a3a428c9
hex2cb62047a

12002133114 has 24 divisors (see below), whose sum is σ = 26638882452. Its totient is φ = 3903132480.

The previous prime is 12002133097. The next prime is 12002133137. The reversal of 12002133114 is 41133120021.

It can be written as a sum of positive squares in 2 ways, for example, as 9152174889 + 2849958225 = 95667^2 + 53385^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8130789 + ... + 8132264.

Almost surely, 212002133114 is an apocalyptic number.

12002133114 is an abundant number, since it is smaller than the sum of its proper divisors (14636749338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12002133114 is a wasteful number, since it uses less digits than its factorization.

12002133114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16263102 (or 16263099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12002133114 its reverse (41133120021), we get a palindrome (53135253135).

The spelling of 12002133114 in words is "twelve billion, two million, one hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 16263053 32526106 48789159 97578318 146367477 292734954 666785173 1333570346 2000355519 4000711038 6001066557 12002133114