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12002003101332 = 22322983138508091
BaseRepresentation
bin1010111010100110111100…
…1000011010011010010100
31120111101021020021012020200
42232221233020122122110
53033120100243220312
641305351043300500
72346054553052046
oct256515710323224
946441236235220
1012002003101332
11390802594a552
12141a09a67a730
13690a266b174a
142d6c85a43a96
1515c2edbe70dc
hexaea6f21a694

12002003101332 has 72 divisors (see below), whose sum is σ = 31762675657440. Its totient is φ = 3816174895680.

The previous prime is 12002003101279. The next prime is 12002003101339. The reversal of 12002003101332 is 23310130020021.

12002003101332 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 20 + 0 + 310 + 1 + 332 = 666.

12002003101332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12002003101339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69167394 + ... + 69340697.

It is an arithmetic number, because the mean of its divisors is an integer number (441148273020).

Almost surely, 212002003101332 is an apocalyptic number.

12002003101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002003101332 is an abundant number, since it is smaller than the sum of its proper divisors (19760672556108).

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

12002003101332 is a wasteful number, since it uses less digits than its factorization.

12002003101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138508213 (or 138508208 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12002003101332 its reverse (23310130020021), we get a palindrome (35312133121353).

The spelling of 12002003101332 in words is "twelve trillion, two billion, three million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 83 87 116 166 174 249 261 332 348 498 522 747 996 1044 1494 2407 2988 4814 7221 9628 14442 21663 28884 43326 86652 138508091 277016182 415524273 554032364 831048546 1246572819 1662097092 2493145638 4016734639 4986291276 8033469278 11496171553 12050203917 16066938556 22992343106 24100407834 34488514659 36150611751 45984686212 48200815668 68977029318 72301223502 103465543977 137954058636 144602447004 206931087954 333388975037 413862175908 666777950074 1000166925111 1333555900148 2000333850222 3000500775333 4000667700444 6001001550666 12002003101332