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23210123312100 = 223521710742532753
BaseRepresentation
bin1010100011100000001110…
…01001111011101111100100
310001011212101101211000010110
411101300013021323233210
511020233313031441400
6121210330005253020
74613606330662314
oct521600711735744
9101155341730113
1023210123312100
1174393a358314a
12272a33b404170
13cc49225368ba
145a35398d7444
152a3b36668e50
hex151c0727bbe4

23210123312100 has 144 divisors (see below), whose sum is σ = 71769428837568. Its totient is φ = 5770843791360.

The previous prime is 23210123312081. The next prime is 23210123312137. The reversal of 23210123312100 is 121332101232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20720677 + ... + 21812076.

It is an arithmetic number, because the mean of its divisors is an integer number (498398811372).

Almost surely, 223210123312100 is an apocalyptic number.

23210123312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23210123312100 is an abundant number, since it is smaller than the sum of its proper divisors (48559305525468).

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

23210123312100 is a wasteful number, since it uses less digits than its factorization.

23210123312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42532894 (or 42532887 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 23210123312100 its reverse (121332101232), we get a palindrome (23331455413332).

The spelling of 23210123312100 in words is "twenty-three trillion, two hundred ten billion, one hundred twenty-three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 107 150 170 204 214 255 300 321 340 425 428 510 535 642 850 1020 1070 1275 1284 1605 1700 1819 2140 2550 2675 3210 3638 5100 5350 5457 6420 7276 8025 9095 10700 10914 16050 18190 21828 27285 32100 36380 45475 54570 90950 109140 136425 181900 272850 545700 42532753 85065506 127598259 170131012 212663765 255196518 425327530 510393036 637991295 723056801 850655060 1063318825 1275982590 1446113602 2126637650 2169170403 2551965180 2892227204 3189956475 3615284005 4253275300 4338340806 4551004571 6379912950 7230568010 8676681612 9102009142 10845852015 12759825900 13653013713 14461136020 18076420025 18204018284 21691704030 22755022855 27306027426 36152840050 43383408060 45510045710 54229260075 54612054852 68265068565 72305680100 77367077707 91020091420 108458520150 113775114275 136530137130 154734155414 216917040300 227550228550 232101233121 273060274260 309468310828 341325342825 386835388535 455100457100 464202466242 682650685650 773670777070 928404932484 1160506165605 1365301371300 1547341554140 1934176942675 2321012331210 3868353885350 4642024662420 5802530828025 7736707770700 11605061656050 23210123312100