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23200312431120 = 24351111297783877
BaseRepresentation
bin1010100011001101111100…
…11000011001001000010000
310001010221001122220121112020
411101212332120121020100
511020103214440243440
6121202024300131440
74613111240605626
oct521467630311020
9101127048817466
1023200312431120
11743521959a050
122728461836b80
13cc3a1aa93b96
145a2c88923516
152a37601b63d0
hex1519be619210

23200312431120 has 160 divisors (see below), whose sum is σ = 78528742945920. Its totient is φ = 5619335761920.

The previous prime is 23200312431097. The next prime is 23200312431227. The reversal of 23200312431120 is 2113421300232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 911379 + ... + 6872498.

It is an arithmetic number, because the mean of its divisors is an integer number (490804643412).

Almost surely, 223200312431120 is an apocalyptic number.

23200312431120 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 23200312431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39264371472960).

23200312431120 is an abundant number, since it is smaller than the sum of its proper divisors (55328430514800).

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

23200312431120 is a wasteful number, since it uses less digits than its factorization.

23200312431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785033 (or 7785027 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23200312431120 its reverse (2113421300232), we get a palindrome (25313733731352).

The spelling of 23200312431120 in words is "twenty-three trillion, two hundred billion, three hundred twelve million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1129 1320 2258 2640 3387 4516 5645 6774 9032 11290 12419 13548 16935 18064 22580 24838 27096 33870 37257 45160 49676 54192 62095 67740 74514 90320 99352 124190 135480 149028 186285 198704 248380 270960 298056 372570 496760 596112 745140 993520 1490280 2980560 7783877 15567754 23351631 31135508 38919385 46703262 62271016 77838770 85622647 93406524 116758155 124542032 155677540 171245294 186813048 233516310 256867941 311355080 342490588 373626096 428113235 467032620 513735882 622710160 684981176 856226470 934065240 1027471764 1284339705 1369962352 1712452940 1868130480 2054943528 2568679410 3424905880 4109887056 5137358820 6849811760 8787997133 10274717640 17575994266 20549435280 26363991399 35151988532 43939985665 52727982798 70303977064 87879971330 96667968463 105455965596 131819956995 140607954128 175759942660 193335936926 210911931192 263639913990 290003905389 351519885320 386671873852 421823862384 483339842315 527279827980 580007810778 703039770640 773343747704 966679684630 1054559655960 1160015621556 1450019526945 1546687495408 1933359369260 2109119311920 2320031243112 2900039053890 3866718738520 4640062486224 5800078107780 7733437477040 11600156215560 23200312431120