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12002350032 = 243283349653
BaseRepresentation
bin10110010110110010…
…10101001111010000
31010222110112112222200
423023121111033100
5144040100200112
65302552003200
7603300202101
oct131331251720
933873475880
1012002350032
1150aa017252
1223ab690500
1311937a838a
1481c0703a8
154a3a86cdc
hex2cb6553d0

12002350032 has 30 divisors (see below), whose sum is σ = 33589910562. Its totient is φ = 4000783296.

The previous prime is 12002350021. The next prime is 12002350069. The reversal of 12002350032 is 23005320021.

12002350032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11995506576 + 6843456 = 109524^2 + 2616^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12002349987 and 12002350014.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 41674683 + ... + 41674970.

Almost surely, 212002350032 is an apocalyptic number.

12002350032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002350032 is an abundant number, since it is smaller than the sum of its proper divisors (21587560530).

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

12002350032 is a wasteful number, since it uses less digits than its factorization.

12002350032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83349667 (or 83349658 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 12002350032 its reverse (23005320021), we get a palindrome (35007670053).

The spelling of 12002350032 in words is "twelve billion, two million, three hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 83349653 166699306 250048959 333398612 500097918 666797224 750146877 1000195836 1333594448 1500293754 2000391672 3000587508 4000783344 6001175016 12002350032