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23322231331300 = 225211472511797239
BaseRepresentation
bin1010100110110001000010…
…10100000101100111100100
310001120120202101211110012201
411103120201110011213210
511024102412210100200
6121334030221224244
74624655430266326
oct523304124054744
9101516671743181
1023322231331300
1174819a2639290
122748008102084
13100237a69b735
145a8b32a53616
152a69e885ec6a
hex1536215059e4

23322231331300 has 144 divisors (see below), whose sum is σ = 56609436764160. Its totient is φ = 8267294800000.

The previous prime is 23322231331291. The next prime is 23322231331367. The reversal of 23322231331300 is 313313222332.

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 47 ways as a sum of consecutive naturals, for example, 12078081 + ... + 13875319.

It is an arithmetic number, because the mean of its divisors is an integer number (393121088640).

Almost surely, 223322231331300 is an apocalyptic number.

23322231331300 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 23322231331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304718382080).

23322231331300 is an abundant number, since it is smaller than the sum of its proper divisors (33287205432860).

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

23322231331300 is a wasteful number, since it uses less digits than its factorization.

23322231331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797562 (or 1797555 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 23322231331300 its reverse (313313222332), we get a palindrome (23635544553632).

The spelling of 23322231331300 in words is "twenty-three trillion, three hundred twenty-two billion, two hundred thirty-one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 251 275 470 502 517 550 940 1004 1034 1100 1175 1255 2068 2350 2510 2585 2761 4700 5020 5170 5522 6275 10340 11044 11797 12550 12925 13805 23594 25100 25850 27610 47188 51700 55220 58985 69025 117970 129767 138050 235940 259534 276100 294925 519068 589850 648835 1179700 1297670 1797239 2595340 3244175 3594478 6488350 7188956 8986195 12976700 17972390 19769629 35944780 39539258 44930975 79078516 84470233 89861950 98848145 168940466 179723900 197696290 337880932 395392580 422351165 451106989 494240725 844702330 902213978 929172563 988481450 1689404660 1804427956 1858345126 1976962900 2111755825 2255534945 3716690252 4223511650 4511069890 4645862815 4962176879 8447023300 9022139780 9291725630 9924353758 11277674725 18583451260 19848707516 21202028483 22555349450 23229314075 24810884395 42404056966 45110698900 46458628150 49621768790 84808113932 92917256300 99243537580 106010142415 124054421975 212020284830 233222313313 248108843950 424040569660 466444626626 496217687900 530050712075 932889253252 1060101424150 1166111566565 2120202848300 2332223133130 4664446266260 5830557832825 11661115665650 23322231331300