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22141401334300 = 22524334917238563
BaseRepresentation
bin1010000100011001100100…
…10111001000001000011100
32220101200211022212101122101
411002030302113020020130
510400231042220144200
6115031341440254444
74443443365030003
oct502146227101034
986350738771571
1022141401334300
11706712a912186
12259719a611424
13c47c04834c91
145679144b7c3a
15285e36ae026a
hex1423325c821c

22141401334300 has 144 divisors (see below), whose sum is σ = 49339458044800. Its totient is φ = 8619794184960.

The previous prime is 22141401334279. The next prime is 22141401334321. The reversal of 22141401334300 is 343310414122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22141401334279) and next prime (22141401334321).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2585701819 + ... + 2585710381.

Almost surely, 222141401334300 is an apocalyptic number.

22141401334300 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 22141401334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24669729022400).

22141401334300 is an abundant number, since it is smaller than the sum of its proper divisors (27198056710500).

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

22141401334300 is a wasteful number, since it uses less digits than its factorization.

22141401334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692 (or 10685 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 22141401334300 its reverse (343310414122), we get a palindrome (22484711748422).

The spelling of 22141401334300 in words is "twenty-two trillion, one hundred forty-one billion, four hundred one million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 349 430 698 860 1075 1396 1723 1745 2150 3446 3490 4300 6892 6980 8563 8615 8725 15007 17126 17230 17450 30014 34252 34460 34900 42815 43075 60028 74089 75035 85630 86150 148178 150070 171260 172300 214075 296356 300140 368209 370445 375175 428150 601327 736418 740890 750350 856300 1202654 1472836 1481780 1500700 1841045 1852225 2405308 2988487 3006635 3682090 3704450 5976974 6013270 7364180 7408900 9205225 11953948 12026540 14754049 14942435 15033175 18410450 25857061 29508098 29884870 30066350 36820900 51714122 59016196 59769740 60132700 73770245 74712175 103428244 128504941 129285305 147540490 149424350 257009882 258570610 295080980 298848700 368851225 514019764 517141220 634424107 642524705 646426525 737702450 1268848214 1285049410 1292853050 1475404900 2537696428 2570098820 2585706100 3172120535 3212623525 5149163101 6344241070 6425247050 10298326202 12688482140 12850494100 15860602675 20596652404 25745815505 31721205350 51491631010 63442410700 102983262020 128729077525 221414013343 257458155050 442828026686 514916310100 885656053372 1107070066715 2214140133430 4428280266860 5535350333575 11070700667150 22141401334300