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23310231042320 = 245619689493001
BaseRepresentation
bin1010100110011010101100…
…00010100111100100010000
310001112102210002011121110022
411103031112002213210100
511023403323121323240
6121324323341323012
74624052153440145
oct523152602474420
9101472702147408
1023310231042320
1174778a47aa592
122745819266468
1310011b7465521
145a8314d9c3cc
152a65450839b5
hex1533560a7910

23310231042320 has 80 divisors (see below), whose sum is σ = 55090547930160. Its totient is φ = 9170273280000.

The previous prime is 23310231042229. The next prime is 23310231042331. The reversal of 23310231042320 is 2324013201332.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1535385856 + 23308695656464 = 39184^2 + 4827908^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 23310231042320.

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 15 ways as a sum of consecutive naturals, for example, 47035820 + ... + 47528820.

It is an arithmetic number, because the mean of its divisors is an integer number (688631849127).

Almost surely, 223310231042320 is an apocalyptic number.

23310231042320 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 23310231042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27545273965080).

23310231042320 is an abundant number, since it is smaller than the sum of its proper divisors (31780316887840).

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

23310231042320 is a wasteful number, since it uses less digits than its factorization.

23310231042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502764 (or 502758 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 23310231042320 its reverse (2324013201332), we get a palindrome (25634244243652).

The spelling of 23310231042320 in words is "twenty-three trillion, three hundred ten billion, two hundred thirty-one million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 9689 19378 38756 48445 77512 96890 155024 193780 387560 493001 591029 775120 986002 1182058 1972004 2364116 2465005 2955145 3944008 4728232 4930010 5910290 7888016 9456464 9860020 11820580 19720040 23641160 30073061 39440080 47282320 60146122 120292244 150365305 240584488 300730610 481168976 601461220 1202922440 2405844880 4776686689 9553373378 19106746756 23883433445 38213493512 47766866890 76426987024 95533733780 191067467560 291377888029 382134935120 582755776058 1165511552116 1456889440145 2331023104232 2913778880290 4662046208464 5827557760580 11655115521160 23310231042320