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22132312231120 = 24571319160008041
BaseRepresentation
bin1010000100001000101001…
…00110111100110011010000
32220100211100220010010001021
411002010110212330303100
510400103433412343440
6115023235513245224
74443002220646630
oct502042446746320
986324326103037
1022132312231120
1170632962a2463
122595482703814
13c470b6788010
145672d130a6c0
15285aa3bb284a
hex1421149bccd0

22132312231120 has 160 divisors (see below), whose sum is σ = 66665750618880. Its totient is φ = 6635853434880.

The previous prime is 22132312231093. The next prime is 22132312231129. The reversal of 22132312231120 is 2113221323122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132312231129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79865701 + ... + 80142340.

It is an arithmetic number, because the mean of its divisors is an integer number (416660941368).

Almost surely, 222132312231120 is an apocalyptic number.

22132312231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132312231120 is an abundant number, since it is smaller than the sum of its proper divisors (44533438387760).

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

22132312231120 is a wasteful number, since it uses less digits than its factorization.

22132312231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160008093 (or 160008087 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 22132312231120 its reverse (2113221323122), we get a palindrome (24245533554242).

The spelling of 22132312231120 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred twelve million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 182 190 208 247 260 266 280 304 364 380 455 494 520 532 560 665 728 760 910 988 1040 1064 1235 1330 1456 1520 1729 1820 1976 2128 2470 2660 3458 3640 3952 4940 5320 6916 7280 8645 9880 10640 13832 17290 19760 27664 34580 69160 138320 160008041 320016082 640032164 800040205 1120056287 1280064328 1600080410 2080104533 2240112574 2560128656 3040152779 3200160820 4160209066 4480225148 5600281435 6080305558 6400321640 8320418132 8960450296 10400522665 11200562870 12160611116 12800643280 14560731731 15200763895 16640836264 17920900592 20801045330 21281069453 22401125740 24321222232 29121463462 30401527790 33281672528 39521986127 41602090660 42562138906 44802251480 48642444464 58242926924 60803055580 72803658655 79043972254 83204181320 85124277812 89604502960 106405347265 116485853848 121606111160 145607317310 158087944508 166408362640 170248555624 197609930635 212810694530 232971707696 243212222320 276653902889 291214634620 316175889016 340497111248 395219861270 425621389060 553307805778 582429269240 632351778032 790439722540 851242778120 1106615611556 1164858538480 1383269514445 1580879445080 1702485556240 2213231223112 2766539028890 3161758890160 4426462446224 5533078057780 11066156115560 22132312231120