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12002322330 = 2325373604301
BaseRepresentation
bin10110010110110010…
…01110011110011010
31010222110111010222200
423023121032132122
5144040043303310
65302551231030
7603300025245
oct131331163632
933873433880
1012002322330
1150a9aa8459
1223ab678476
13119379889b
1481c06425c
154a3a7d9c0
hex2cb64e79a

12002322330 has 48 divisors (see below), whose sum is σ = 32049453384. Its totient is φ = 3114115200.

The previous prime is 12002322317. The next prime is 12002322331. The reversal of 12002322330 is 3322320021.

It is a happy number.

12002322330 is a `hidden beast` number, since 1 + 200 + 232 + 233 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11985651441 + 16670889 = 109479^2 + 4083^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12002322331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1798821 + ... + 1805480.

Almost surely, 212002322330 is an apocalyptic number.

12002322330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002322330 is an abundant number, since it is smaller than the sum of its proper divisors (20047131054).

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

12002322330 is a wasteful number, since it uses less digits than its factorization.

12002322330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604351 (or 3604348 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12002322330 its reverse (3322320021), we get a palindrome (15324642351).

The spelling of 12002322330 in words is "twelve billion, two million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3604301 7208602 10812903 18021505 21625806 32438709 36043010 54064515 64877418 108129030 133359137 162193545 266718274 324387090 400077411 666795685 800154822 1200232233 1333591370 2000387055 2400464466 4000774110 6001161165 12002322330