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42033021231300 = 223521159921264239
BaseRepresentation
bin10011000111010100100110…
…10011001010000011000100
312111211022120112001012212020
421203222103103022003010
521002132111413400200
6225221411532523140
711565533310301131
oct1143522323120304
9174738515035766
1042033021231300
1112436116760760
12486a3459204b0
131a5b90a100148
14a545a2745588
154cd596bacea0
hex263a934ca0c4

42033021231300 has 144 divisors (see below), whose sum is σ = 132892994304000. Its totient is φ = 10172811459200.

The previous prime is 42033021231283. The next prime is 42033021231301. The reversal of 42033021231300 is 313212033024.

It is not an unprimeable number, because it can be changed into a prime (42033021231301) by changing a digit.

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, 8655420 + ... + 12608819.

It is an arithmetic number, because the mean of its divisors is an integer number (922868016000).

Almost surely, 242033021231300 is an apocalyptic number.

It is an amenable number.

42033021231300 is an abundant number, since it is smaller than the sum of its proper divisors (90859973072700).

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

42033021231300 is a wasteful number, since it uses less digits than its factorization.

42033021231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21264866 (or 21264859 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 42033021231300 its reverse (313212033024), we get a palindrome (42346233264324).

The spelling of 42033021231300 in words is "forty-two trillion, thirty-three billion, twenty-one million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 599 660 825 1100 1198 1650 1797 2396 2995 3300 3594 5990 6589 7188 8985 11980 13178 14975 17970 19767 26356 29950 32945 35940 39534 44925 59900 65890 79068 89850 98835 131780 164725 179700 197670 329450 395340 494175 658900 988350 1976700 21264239 42528478 63792717 85056956 106321195 127585434 212642390 233906629 255170868 318963585 425284780 467813258 531605975 637927170 701719887 935626516 1063211950 1169533145 1275854340 1403439774 1594817925 2126423900 2339066290 2806879548 3189635850 3508599435 4678132580 5847665725 6379271700 7017198870 11695331450 12737279161 14034397740 17542997175 23390662900 25474558322 35085994350 38211837483 50949116644 63686395805 70171988700 76423674966 127372791610 140110070771 152847349932 191059187415 254745583220 280220141542 318431979025 382118374830 420330212313 560440283084 636863958050 700550353855 764236749660 840660424626 955295937075 1273727916100 1401100707710 1681320849252 1910591874150 2101651061565 2802201415420 3502751769275 3821183748300 4203302123130 7005503538550 8406604246260 10508255307825 14011007077100 21016510615650 42033021231300