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23021331022000 = 245383269951383
BaseRepresentation
bin1010011110000000100100…
…10000100000000010110000
310000111211002010210222021201
411033000102100200002300
511004140141220201000
6120543504203300544
74564144020666343
oct517002220400260
9100454063728251
1023021331022000
117376323219313
1226b983121a754
13cacb9619873c
1459834a11445a
1529dc8711296a
hex14f0124200b0

23021331022000 has 160 divisors (see below), whose sum is σ = 56358217843200. Its totient is φ = 9094038521600.

The previous prime is 23021331021989. The next prime is 23021331022013. The reversal of 23021331022000 is 22013312032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448008309 + ... + 448059691.

It is an arithmetic number, because the mean of its divisors is an integer number (352238861520).

Almost surely, 223021331022000 is an apocalyptic number.

23021331022000 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 23021331022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28179108921600).

23021331022000 is an abundant number, since it is smaller than the sum of its proper divisors (33336886821200).

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

23021331022000 is a wasteful number, since it uses less digits than its factorization.

23021331022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54188 (or 54172 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23021331022000 its reverse (22013312032), we get a palindrome (23043344334032).

The spelling of 23021331022000 in words is "twenty-three trillion, twenty-one billion, three hundred thirty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 664 830 1000 1328 1660 2000 2075 2699 3320 4150 5398 6640 8300 10375 10796 13495 16600 20750 21592 26990 33200 41500 43184 51383 53980 67475 83000 102766 107960 134950 166000 205532 215920 224017 256915 269900 337375 411064 448034 513830 539800 674750 822128 896068 1027660 1079600 1120085 1284575 1349500 1792136 2055320 2240170 2569150 2699000 3584272 4110640 4264789 4480340 5138300 5398000 5600425 6422875 8529578 8960680 10276600 11200850 12845750 17059156 17921360 20553200 21323945 22401700 25691500 28002125 34118312 42647890 44803400 51383000 56004250 68236624 85295780 89606800 102766000 106619725 112008500 138682717 170591560 213239450 224017000 277365434 341183120 426478900 448034000 533098625 554730868 693413585 852957800 1066197250 1109461736 1386827170 1705915600 2132394500 2218923472 2773654340 3467067925 4264789000 5547308680 6934135850 8529578000 11094617360 11510665511 13868271700 17335339625 23021331022 27736543400 34670679250 46042662044 55473086800 57553327555 69341358500 92085324088 115106655110 138682717000 184170648176 230213310220 277365434000 287766637775 460426620440 575533275550 920853240880 1151066551100 1438833188875 2302133102200 2877666377750 4604266204400 5755332755500 11510665511000 23021331022000