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12302011000 = 2353831031439
BaseRepresentation
bin10110111010100000…
…11100101001111000
31011202100101220120001
423131100130221320
5200143303323000
65352414442344
7613566240166
oct133520345170
934670356501
1012302011000
115243189a44
122473b033b4
1312108b7a66
14849b96236
154c002a46a
hex2dd41ca78

12302011000 has 128 divisors (see below), whose sum is σ = 29436825600. Its totient is φ = 4810972800.

The previous prime is 12302010977. The next prime is 12302011003. The reversal of 12302011000 is 11020321.

12302011000 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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302011003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8548281 + ... + 8549719.

It is an arithmetic number, because the mean of its divisors is an integer number (229975200).

Almost surely, 212302011000 is an apocalyptic number.

12302011000 is a gapful number since it is divisible by the number (10) 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 12302011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718412800).

12302011000 is an abundant number, since it is smaller than the sum of its proper divisors (17134814600).

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

12302011000 is a wasteful number, since it uses less digits than its factorization.

12302011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12302011000 its reverse (11020321), we get a palindrome (12313031321).

The spelling of 12302011000 in words is "twelve billion, three hundred two million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 103 125 166 200 206 250 332 412 415 500 515 664 824 830 1000 1030 1439 1660 2060 2075 2575 2878 3320 4120 4150 5150 5756 7195 8300 8549 10300 10375 11512 12875 14390 16600 17098 20600 20750 25750 28780 34196 35975 41500 42745 51500 57560 68392 71950 83000 85490 103000 119437 143900 148217 170980 179875 213725 238874 287800 296434 341960 359750 427450 477748 592868 597185 719500 741085 854900 955496 1068625 1185736 1194370 1439000 1482170 1709800 2137250 2388740 2964340 2985925 3705425 4274500 4777480 5928680 5971850 7410850 8549000 11943700 12302011 14821700 14929625 18527125 23887400 24604022 29643400 29859250 37054250 49208044 59718500 61510055 74108500 98416088 119437000 123020110 148217000 246040220 307550275 492080440 615100550 1230201100 1537751375 2460402200 3075502750 6151005500 12302011000