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12002302332 = 22343112383
BaseRepresentation
bin10110010110110010…
…01001100101111100
31010222110110010120000
423023121021211330
5144040042133312
65302550554300
7603266613036
oct131331114574
933873403500
1012002302332
1150a9a94429
1223ab668990
13119378c757
1481c05ac56
154a3a77adc
hex2cb64997c

12002302332 has 90 divisors (see below), whose sum is σ = 31559789184. Its totient is φ = 3977490960.

The previous prime is 12002302309. The next prime is 12002302339. The reversal of 12002302332 is 23320320021.

It is a happy number.

12002302332 is a `hidden beast` number, since 1 + 200 + 230 + 233 + 2 = 666.

It is a super-2 number, since 2×120023023322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002302339) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31337413 + ... + 31337795.

Almost surely, 212002302332 is an apocalyptic number.

12002302332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002302332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15779894592).

12002302332 is an abundant number, since it is smaller than the sum of its proper divisors (19557486852).

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

12002302332 is an equidigital number, since it uses as much as digits as its factorization.

12002302332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 699 counting only the distinct ones).

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

Adding to 12002302332 its reverse (23320320021), we get a palindrome (35322622353).

The spelling of 12002302332 in words is "twelve billion, two million, three hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 311 324 383 622 766 933 1149 1244 1532 1866 2298 2799 3447 3732 4596 5598 6894 8397 10341 11196 13788 16794 20682 25191 31023 33588 41364 50382 62046 96721 100764 119113 124092 193442 238226 290163 357339 386884 476452 580326 714678 870489 1072017 1160652 1429356 1740978 2144034 2611467 3216051 3481956 4288068 5222934 6432102 7834401 9648153 10445868 12864204 15668802 19296306 31337604 37044143 38592612 74088286 111132429 148176572 222264858 333397287 444529716 666794574 1000191861 1333589148 2000383722 3000575583 4000767444 6001151166 12002302332