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233032100000 = 25557332903
BaseRepresentation
bin1101100100000111001…
…0111010100010100000
3211021111102000020010112
43121001302322202200
512304222204200000
6255015314350452
722556516111360
oct3310162724240
9737442006115
10233032100000
118a9125aa8a7
12391b5b8b428
1318c8992758b
14b3c90ca9a0
1560dd383235
hex3641cba8a0

233032100000 has 144 divisors (see below), whose sum is σ = 655362804096. Its totient is φ = 79896480000.

The previous prime is 233032099997. The next prime is 233032100039. The reversal of 233032100000 is 1230332.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533549 + ... + 866451.

It is an arithmetic number, because the mean of its divisors is an integer number (4551130584).

Almost surely, 2233032100000 is an apocalyptic number.

233032100000 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 233032100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327681402048).

233032100000 is an abundant number, since it is smaller than the sum of its proper divisors (422330704096).

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

233032100000 is an frugal number, since it uses more digits than its factorization.

233032100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332945 (or 332917 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 233032100000 its reverse (1230332), we get a palindrome (233033330332).

The spelling of 233032100000 in words is "two hundred thirty-three billion, thirty-two million, one hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 17500 20000 21875 25000 28000 35000 43750 50000 70000 87500 100000 140000 175000 332903 350000 665806 700000 1331612 1664515 2330321 2663224 3329030 4660642 5326448 6658060 8322575 9321284 10652896 11651605 13316120 16645150 18642568 23303210 26632240 33290300 37285136 41612875 46606420 53264480 58258025 66580600 74570272 83225750 93212840 116516050 133161200 166451500 186425680 208064375 233032100 266322400 291290125 332903000 372851360 416128750 466064200 582580250 665806000 832257500 932128400 1040321875 1165160500 1331612000 1456450625 1664515000 1864256800 2080643750 2330321000 2912901250 3329030000 4161287500 4660642000 5825802500 6658060000 7282253125 8322575000 9321284000 11651605000 14564506250 16645150000 23303210000 29129012500 33290300000 46606420000 58258025000 116516050000 233032100000