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212738118751320 = 233531235601242731
BaseRepresentation
bin110000010111101111110011…
…111111111001010001011000
31000220020120021021100202120020
4300113233303333321101120
5210341000131400020240
62032242313110030440
762544551621233401
oct6027576377712130
91026216237322506
10212738118751320
116186a802a66908
121ba3a0a5648420
139192170501346
143a768192cc9a8
15198dc177e70d0
hexc17bf3ff9458

212738118751320 has 128 divisors (see below), whose sum is σ = 658807426529280. Its totient is φ = 54899700480000.

The previous prime is 212738118751313. The next prime is 212738118751321. The reversal of 212738118751320 is 23157811837212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212738118751321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876314355 + ... + 876557085.

It is an arithmetic number, because the mean of its divisors is an integer number (5146933019760).

Almost surely, 2212738118751320 is an apocalyptic number.

212738118751320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212738118751320 is an abundant number, since it is smaller than the sum of its proper divisors (446069307777960).

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

212738118751320 is a wasteful number, since it uses less digits than its factorization.

212738118751320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478377 (or 478373 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 212738118751320 in words is "two hundred twelve trillion, seven hundred thirty-eight billion, one hundred eighteen million, seven hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 235601 242731 471202 485462 706803 728193 942404 970924 1178005 1213655 1413606 1456386 1884808 1941848 2356010 2427310 2827212 2912772 3534015 3640965 4712020 4854620 5654424 5825544 7068030 7281930 7303631 7524661 9424040 9709240 14136060 14563860 14607262 15049322 21910893 22573983 28272120 29127720 29214524 30098644 36518155 37623305 43821786 45147966 58429048 60197288 73036310 75246610 87643572 90295932 109554465 112869915 146072620 150493220 175287144 180591864 219108930 225739830 292145240 300986440 438217860 451479660 876435720 902959320 57187666331 114375332662 171562998993 228750665324 285938331655 343125997986 457501330648 571876663310 686251995972 857814994965 1143753326620 1372503991944 1715629989930 1772817656261 2287506653240 3431259979860 3545635312522 5318452968783 6862519959720 7091270625044 8864088281305 10636905937566 14182541250088 17728176562610 21273811875132 26592264843915 35456353125220 42547623750264 53184529687830 70912706250440 106369059375660 212738118751320