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12000001002 = 23112232924781
BaseRepresentation
bin10110010110100000…
…10111101111101010
31010222022010012201120
423023100113233222
5144034000013002
65302425400110
7603241216443
oct131320275752
933868105646
1012000001002
1150a8762400
1223aa939036
131193165112
1481ba1c2ca
154a3770cbc
hex2cb417bea

12000001002 has 96 divisors (see below), whose sum is σ = 28477491840. Its totient is φ = 3358185600.

The previous prime is 12000000983. The next prime is 12000001043. The reversal of 12000001002 is 20010000021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 471852 + ... + 496632.

It is an arithmetic number, because the mean of its divisors is an integer number (296640540).

Almost surely, 212000001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238745920).

12000001002 is an abundant number, since it is smaller than the sum of its proper divisors (16477490838).

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

12000001002 is a wasteful number, since it uses less digits than its factorization.

12000001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24860 (or 24849 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12000001002 its reverse (20010000021), we get a palindrome (32010001023).

The spelling of 12000001002 in words is "twelve billion, one thousand, two".

Divisors: 1 2 3 6 11 22 23 29 33 46 58 66 69 87 121 138 174 242 253 319 363 506 638 667 726 759 957 1334 1518 1914 2001 2783 3509 4002 5566 7018 7337 8349 10527 14674 16698 21054 22011 24781 44022 49562 74343 80707 148686 161414 242121 272591 484242 545182 569963 718649 817773 1139926 1437298 1635546 1709889 2155947 2998501 3419778 4311894 5997002 6269593 7905139 8995503 12539186 15810278 16528927 17991006 18808779 23715417 33057854 37617558 47430834 49586781 68965523 86956529 99173562 137931046 173913058 181818197 206896569 260869587 363636394 413793138 521739174 545454591 1090909182 2000000167 4000000334 6000000501 12000001002