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2431213000 = 23535989463
BaseRepresentation
bin1001000011101001…
…0101110111001000
320021102202102020221
42100322111313020
514434342304000
61041125155424
7114150653356
oct22072256710
96242672227
102431213000
1110383a1347
1257a25bb74
132c98c6a98
14190c667d6
15e368e61a
hex90e95dc8

2431213000 has 128 divisors (see below), whose sum is σ = 5863104000. Its totient is φ = 943219200.

The previous prime is 2431212997. The next prime is 2431213033. The reversal of 2431213000 is 3121342.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5250769 + ... + 5251231.

It is an arithmetic number, because the mean of its divisors is an integer number (45805500).

Almost surely, 22431213000 is an apocalyptic number.

2431213000 is a gapful number since it is divisible by the number (20) 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 2431213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931552000).

2431213000 is an abundant number, since it is smaller than the sum of its proper divisors (3431891000).

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

2431213000 is a wasteful number, since it uses less digits than its factorization.

2431213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2431213000 is about 49307.3321119689. The cubic root of 2431213000 is about 1344.6450881527.

Adding to 2431213000 its reverse (3121342), we get a palindrome (2434334342).

The spelling of 2431213000 in words is "two billion, four hundred thirty-one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 89 100 118 125 178 200 236 250 295 356 445 463 472 500 590 712 890 926 1000 1180 1475 1780 1852 2225 2315 2360 2950 3560 3704 4450 4630 5251 5900 7375 8900 9260 10502 11125 11575 11800 14750 17800 18520 21004 22250 23150 26255 27317 29500 41207 42008 44500 46300 52510 54634 57875 59000 82414 89000 92600 105020 109268 115750 131275 136585 164828 206035 210040 218536 231500 262550 273170 329656 412070 463000 525100 546340 656375 682925 824140 1030175 1050200 1092680 1312750 1365850 1648280 2060350 2431213 2625500 2731700 3414625 4120700 4862426 5150875 5251000 5463400 6829250 8241400 9724852 10301750 12156065 13658500 19449704 20603500 24312130 27317000 41207000 48624260 60780325 97248520 121560650 243121300 303901625 486242600 607803250 1215606500 2431213000