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23002312300 = 22521147597541
BaseRepresentation
bin10101011011000010…
…110110111001101100
32012101001220112110121
4111123002312321230
5334102042443200
614322255214324
71443006266662
oct253302667154
965331815417
1023002312300
119834229760
12455b5173a4
1322276bb7a6
141182d30c32
158e9619e1a
hex55b0b6e6c

23002312300 has 144 divisors (see below), whose sum is σ = 56561379840. Its totient is φ = 8046688000.

The previous prime is 23002312273. The next prime is 23002312301. The reversal of 23002312300 is 321320032.

It is a super-2 number, since 2×230023123002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23002312301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3046530 + ... + 3054070.

It is an arithmetic number, because the mean of its divisors is an integer number (392787360).

Almost surely, 223002312300 is an apocalyptic number.

23002312300 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 23002312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28280689920).

23002312300 is an abundant number, since it is smaller than the sum of its proper divisors (33559067540).

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

23002312300 is a wasteful number, since it uses less digits than its factorization.

23002312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23002312300 its reverse (321320032), we get a palindrome (23323632332).

The spelling of 23002312300 in words is "twenty-three billion, two million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 59 94 100 110 118 188 220 235 236 275 295 470 517 550 590 649 940 1034 1100 1175 1180 1298 1475 2068 2350 2585 2596 2773 2950 3245 4700 5170 5546 5900 6490 7541 10340 11092 12925 12980 13865 15082 16225 25850 27730 30164 30503 32450 37705 51700 55460 61006 64900 69325 75410 82951 122012 138650 150820 152515 165902 188525 277300 305030 331804 354427 377050 414755 444919 610060 708854 754100 762575 829510 889838 1417708 1525150 1659020 1772135 1779676 2073775 2224595 3050300 3544270 3898697 4147550 4449190 4894109 7088540 7797394 8295100 8860675 8898380 9788218 11122975 15594788 17721350 19493485 19576436 20911193 22245950 24470545 35442700 38986970 41822386 44491900 48941090 77973940 83644772 97467425 97882180 104555965 122352725 194934850 209111930 230023123 244705450 389869700 418223860 460046246 489410900 522779825 920092492 1045559650 1150115615 2091119300 2300231230 4600462460 5750578075 11501156150 23002312300