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21124404022000 = 2453192687206887
BaseRepresentation
bin1001100110110011010001…
…00110010000101011110000
32202210110210001000001002011
410303121220212100223300
510232100234412201000
6112532230042332304
74310121265352416
oct463315046205360
982713701001064
1021124404022000
11680489a3a3a54
1224520741ba094
13ba303aca74c6
145305d88912b6
152697630332ba
hex133668990af0

21124404022000 has 160 divisors (see below), whose sum is σ = 53787437383680. Its totient is φ = 8002019462400.

The previous prime is 21124404021989. The next prime is 21124404022081. The reversal of 21124404022000 is 22040442112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102002557 + ... + 102209443.

It is an arithmetic number, because the mean of its divisors is an integer number (336171483648).

Almost surely, 221124404022000 is an apocalyptic number.

21124404022000 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 21124404022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26893718691840).

21124404022000 is an abundant number, since it is smaller than the sum of its proper divisors (32663033361680).

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

21124404022000 is a wasteful number, since it uses less digits than its factorization.

21124404022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209616 (or 209600 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 21124404022000 its reverse (22040442112), we get a palindrome (21146444464112).

The spelling of 21124404022000 in words is "twenty-one trillion, one hundred twenty-four billion, four hundred four million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 2687 3800 4750 5374 7600 9500 10748 13435 19000 21496 26870 38000 42992 51053 53740 67175 102106 107480 134350 204212 206887 214960 255265 268700 335875 408424 413774 510530 537400 671750 816848 827548 1021060 1034435 1074800 1276325 1343500 1655096 2042120 2068870 2552650 2687000 3310192 3930853 4084240 4137740 5105300 5172175 5374000 6381625 7861706 8275480 10210600 10344350 12763250 15723412 16550960 19654265 20421200 20688700 25526500 25860875 31446824 39308530 41377400 51053000 51721750 62893648 78617060 82754800 98271325 102106000 103443500 157234120 196542650 206887000 314468240 393085300 413774000 491356625 555905369 786170600 982713250 1111810738 1572341200 1965426500 2223621476 2779526845 3930853000 4447242952 5559053690 7861706000 8894485904 10562202011 11118107380 13897634225 21124404022 22236214760 27795268450 42248808044 44472429520 52811010055 55590536900 69488171125 84497616088 105622020110 111181073800 138976342250 168995232176 211244040220 222362147600 264055050275 277952684500 422488080440 528110100550 555905369000 844976160880 1056220201100 1111810738000 1320275251375 2112440402200 2640550502750 4224880804400 5281101005500 10562202011000 21124404022000