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133231312121220 = 223257122346748813
BaseRepresentation
bin11110010010110001010101…
…000010000010110110000100
3122110201210022012211211000200
4132102301111002002312010
5114430330211400334340
61151205341515010500
740030434054434655
oct3622612502026604
9573653265754020
10133231312121220
11394a709a3a5235
1212b39154a39a30
135945874589521
1424c860397952c
1510609bb172330
hex792c55082d84

133231312121220 has 144 divisors (see below), whose sum is σ = 411664820216832. Its totient is φ = 34870873847040.

The previous prime is 133231312121209. The next prime is 133231312121263. The reversal of 133231312121220 is 22121213132331.

133231312121220 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 3 + 1 + 312 + 121 + 220 = 666.

133231312121220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 20524467 + ... + 26224346.

It is an arithmetic number, because the mean of its divisors is an integer number (2858783473728).

Almost surely, 2133231312121220 is an apocalyptic number.

133231312121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133231312121220 is an abundant number, since it is smaller than the sum of its proper divisors (278433508095612).

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

133231312121220 is a wasteful number, since it uses less digits than its factorization.

133231312121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46749122 (or 46749117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133231312121220 its reverse (22121213132331), we get a palindrome (155352525253551).

The spelling of 133231312121220 in words is "one hundred thirty-three trillion, two hundred thirty-one billion, three hundred twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 223 284 355 426 446 639 669 710 852 892 1065 1115 1278 1338 1420 2007 2130 2230 2556 2676 3195 3345 4014 4260 4460 6390 6690 8028 10035 12780 13380 15833 20070 31666 40140 47499 63332 79165 94998 142497 158330 189996 237495 284994 316660 474990 569988 712485 949980 1424970 2849940 46748813 93497626 140246439 186995252 233744065 280492878 420739317 467488130 560985756 701232195 841478634 934976260 1402464390 1682957268 2103696585 2804928780 3319165723 4207393170 6638331446 8414786340 9957497169 10424985299 13276662892 16595828615 19914994338 20849970598 29872491507 31274955897 33191657230 39829988676 41699941196 49787485845 52124926495 59744983014 62549911794 66383314460 93824867691 99574971690 104249852990 119489966028 125099823588 149362457535 156374779485 187649735382 199149943380 208499705980 298724915070 312749558970 375299470764 469124338455 597449830140 625499117940 740173956229 938248676910 1480347912458 1876497353820 2220521868687 2960695824916 3700869781145 4441043737374 6661565606061 7401739562290 8882087474748 11102609343435 13323131212122 14803479124580 22205218686870 26646262424244 33307828030305 44410437373740 66615656060610 133231312121220