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23212132311300 = 223521131300152667
BaseRepresentation
bin1010100011100011111101…
…11001101010000100000100
310001012001120102002201221020
411101301332321222010010
511020301421332430200
6121211301213151140
74614010164124662
oct521617671520404
9101161512081836
1023212132311300
11743a234606a69
12272a80018b4b0
13cc4b8281211a
145a368a655c32
152a3c02c07ea0
hex151c7ee6a104

23212132311300 has 144 divisors (see below), whose sum is σ = 67761274375872. Its totient is φ = 6134535680000.

The previous prime is 23212132311299. The next prime is 23212132311307. The reversal of 23212132311300 is 311323121232.

It is not an unprimeable number, because it can be changed into a prime (23212132311307) 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, 440707567 + ... + 440760233.

It is an arithmetic number, because the mean of its divisors is an integer number (470564405388).

Almost surely, 223212132311300 is an apocalyptic number.

23212132311300 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 23212132311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33880637187936).

23212132311300 is an abundant number, since it is smaller than the sum of its proper divisors (44549142064572).

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

23212132311300 is a wasteful number, since it uses less digits than its factorization.

23212132311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65798 (or 65791 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 23212132311300 its reverse (311323121232), we get a palindrome (23523455432532).

The spelling of 23212132311300 in words is "twenty-three trillion, two hundred twelve billion, one hundred thirty-two million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2825 3390 5650 6780 8475 11300 13001 16950 26002 33900 39003 52004 52667 65005 78006 105334 130010 156012 158001 195015 210668 260020 263335 316002 325025 390030 526670 632004 650050 780060 790005 975075 1053340 1300100 1316675 1469113 1580010 1950150 2633350 2938226 3160020 3900300 3950025 4407339 5266700 5876452 5951371 7345565 7900050 8814678 11902742 14691130 15800100 17629356 17854113 22036695 23805484 29382260 29756855 35708226 36727825 44073390 59513710 71416452 73455650 88146780 89270565 110183475 119027420 146911300 148784275 178541130 220366950 297568550 357082260 440733900 446352825 595137100 684723667 892705650 1369447334 1785411300 2054171001 2738894668 3423618335 4108342002 6847236670 8216684004 10270855005 13694473340 17118091675 20541710010 34236183350 41083420020 51354275025 68472366700 77373774371 102708550050 154747548742 205417100100 232121323113 309495097484 386868871855 464242646226 773737743710 928485292452 1160606615565 1547475487420 1934344359275 2321213231130 3868688718550 4642426462260 5803033077825 7737377437100 11606066155650 23212132311300