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12312321020300 = 22527113200377711
BaseRepresentation
bin1011001100101010111110…
…0001010101000110001100
31121121001020211011210221202
42303022233201111012030
53103211113140122200
642104111401245032
72410351535620010
oct263125741250614
947531224153852
1012312321020300
113a17698264004
12146a263493778
136b407c030742
14307cc3224540
151654121121d5
hexb32af85518c

12312321020300 has 144 divisors (see below), whose sum is σ = 30820549358592. Its totient is φ = 4181867289600.

The previous prime is 12312321020281. The next prime is 12312321020309. The reversal of 12312321020300 is 302012321321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12312321020309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158398445 + ... + 158476155.

It is an arithmetic number, because the mean of its divisors is an integer number (214031592768).

Almost surely, 212312321020300 is an apocalyptic number.

12312321020300 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 12312321020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410274679296).

12312321020300 is an abundant number, since it is smaller than the sum of its proper divisors (18508228338292).

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

12312321020300 is a wasteful number, since it uses less digits than its factorization.

12312321020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79848 (or 79841 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12312321020300 its reverse (302012321321), we get a palindrome (12614333341621).

The spelling of 12312321020300 in words is "twelve trillion, three hundred twelve billion, three hundred twenty-one million, twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 113 140 175 226 350 452 565 700 791 1130 1582 2003 2260 2825 3164 3955 4006 5650 7910 8012 10015 11300 14021 15820 19775 20030 28042 39550 40060 50075 56084 70105 77711 79100 100150 140210 155422 200300 226339 280420 310844 350525 388555 452678 543977 701050 777110 905356 1087954 1131695 1402100 1554220 1584373 1942775 2175908 2263390 2719885 3168746 3885550 4526780 5439770 5658475 6337492 7771100 7921865 8781343 10879540 11316950 13599425 15843730 17562686 22633900 27198850 31687460 35125372 39609325 43906715 54397700 61469401 79218650 87813430 122938802 155655133 158437300 175626860 219533575 245877604 307347005 311310266 439067150 614694010 622620532 778275665 878134300 1089585931 1229388020 1536735025 1556551330 2179171862 3073470050 3113102660 3891378325 4358343724 5447929655 6146940100 7782756650 10895859310 15565513300 17589030029 21791718620 27239648275 35178060058 54479296550 70356120116 87945150145 108958593100 123123210203 175890300290 246246420406 351780600580 439725750725 492492840812 615616051015 879451501450 1231232102030 1758903002900 2462464204060 3078080255075 6156160510150 12312321020300