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31324323300 = 223522331714321
BaseRepresentation
bin11101001011000100…
…110011110111100100
32222212001020111102020
4131023010303313210
51003123011321200
622220140543140
72156150232504
oct351304636744
988761214366
1031324323300
11123148447a6
1260a2551ab0
132c5286825a
14173229ba04
15c35020ea0
hex74b133de4

31324323300 has 144 divisors (see below), whose sum is σ = 94877177472. Its totient is φ = 7964211200.

The previous prime is 31324323299. The next prime is 31324323307. The reversal of 31324323300 is 332342313.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31324323307) by changing a digit.

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, 2180140 + ... + 2194460.

It is an arithmetic number, because the mean of its divisors is an integer number (658869288).

Almost surely, 231324323300 is an apocalyptic number.

31324323300 is a gapful number since it is divisible by the number (30) 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 31324323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47438588736).

31324323300 is an abundant number, since it is smaller than the sum of its proper divisors (63552854172).

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

31324323300 is a wasteful number, since it uses less digits than its factorization.

31324323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14678 (or 14671 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 31324323300 its reverse (332342313), we get a palindrome (31656665613).

The spelling of 31324323300 in words is "thirty-one billion, three hundred twenty-four million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 317 345 460 575 634 690 951 1150 1268 1380 1585 1725 1902 2300 3170 3450 3804 4755 6340 6900 7291 7925 9510 14321 14582 15850 19020 21873 23775 28642 29164 31700 36455 42963 43746 47550 57284 71605 72910 85926 87492 95100 109365 143210 145820 171852 182275 214815 218730 286420 329383 358025 364550 429630 437460 546825 658766 716050 729100 859260 988149 1074075 1093650 1317532 1432100 1646915 1976298 2148150 2187300 3293830 3952596 4296300 4539757 4940745 6587660 8234575 9079514 9881490 13619271 16469150 18159028 19762980 22698785 24703725 27238542 32938300 45397570 49407450 54477084 68096355 90795140 98814900 104414411 113493925 136192710 208828822 226987850 272385420 313243233 340481775 417657644 453975700 522072055 626486466 680963550 1044144110 1252972932 1361927100 1566216165 2088288220 2610360275 3132432330 5220720550 6264864660 7831080825 10441441100 15662161650 31324323300