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21243155421224 = 2311231239195827
BaseRepresentation
bin1001101010010000011101…
…01110111001100000101000
32210012211022000201011022102
410311020032232321200220
510241021440241434344
6113102545413112532
74321524123530342
oct465101656714050
983184260634272
1021243155421224
116850198477900
122471095928748
13bb12b45b1b39
14536262056292
1526c8b359ce4e
hex13520ebb9828

21243155421224 has 144 divisors (see below), whose sum is σ = 45258250161600. Its totient is φ = 9340508865600.

The previous prime is 21243155421181. The next prime is 21243155421259. The reversal of 21243155421224 is 42212455134212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3645638999 + ... + 3645644825.

It is an arithmetic number, because the mean of its divisors is an integer number (314293403900).

Almost surely, 221243155421224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21243155421224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22629125080800).

21243155421224 is an abundant number, since it is smaller than the sum of its proper divisors (24015094740376).

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

21243155421224 is a wasteful number, since it uses less digits than its factorization.

21243155421224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9836 (or 9790 counting only the distinct ones).

The product of its digits is 153600, while the sum is 38.

It can be divided in two parts, 212431 and 55421224, that added together give a palindrome (55633655).

The spelling of 21243155421224 in words is "twenty-one trillion, two hundred forty-three billion, one hundred fifty-five million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 961 968 1364 1922 2728 3751 3844 3919 5827 7502 7688 7838 10571 11654 15004 15676 21142 23308 30008 31352 42284 43109 46616 64097 84568 86218 116281 121489 128194 172436 180637 232562 242978 256388 344872 361274 465124 474199 485956 512776 705067 722548 930248 948398 971912 1336379 1410134 1445096 1896796 1987007 2672758 2820268 3766159 3793592 3974014 5345516 5599747 5640536 7532318 7948028 10691032 11199494 14700169 15064636 15896056 21857077 22398988 22836013 29400338 30129272 41427749 43714154 44797976 45672026 58800676 61597217 82855498 87428308 91344052 117601352 123194434 165710996 174856616 182688104 246388868 251196143 331421992 455705239 492777736 502392286 677569387 707916403 911410478 1004784572 1355138774 1415832806 1822820956 2009569144 2710277548 2763157573 2831665612 3645641912 5420555096 5526315146 5663331224 7787080433 11052630292 15574160866 21945408493 22105260584 31148321732 43890816986 62296643464 85657884763 87781633972 171315769526 175563267944 241399493423 342631539052 482798986846 685263078104 965597973692 1931195947384 2655394427653 5310788855306 10621577710612 21243155421224