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21120231313000 = 2353412112441363
BaseRepresentation
bin1001100110101011011111…
…11000101000111001101000
32202210002000020022110102101
410303111233320220321220
510232013213204004000
6112530300022543144
74306613010045151
oct463255770507150
982702006273371
1021120231313000
116803048a77a16
1224512aa897ab4
13ba2824665721
14530320620928
152695bba44e6a
hex13356fe28e68

21120231313000 has 128 divisors (see below), whose sum is σ = 50866697831040. Its totient is φ = 8202976320000.

The previous prime is 21120231312997. The next prime is 21120231313033. The reversal of 21120231313000 is 31313202112.

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, 7430319 + ... + 9871681.

It is an arithmetic number, because the mean of its divisors is an integer number (397396076805).

Almost surely, 221120231313000 is an apocalyptic number.

21120231313000 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 21120231313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433348915520).

21120231313000 is an abundant number, since it is smaller than the sum of its proper divisors (29746466518040).

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

21120231313000 is a wasteful number, since it uses less digits than its factorization.

21120231313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441636 (or 2441622 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21120231313000 its reverse (31313202112), we get a palindrome (21151544515112).

The spelling of 21120231313000 in words is "twenty-one trillion, one hundred twenty billion, two hundred thirty-one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 211 250 328 410 422 500 820 844 1000 1025 1055 1640 1688 2050 2110 4100 4220 5125 5275 8200 8440 8651 10250 10550 17302 20500 21100 26375 34604 41000 42200 43255 52750 69208 86510 105500 173020 211000 216275 346040 432550 865100 1081375 1730200 2162750 2441363 4325500 4882726 8651000 9765452 12206815 19530904 24413630 48827260 61034075 97654520 100095883 122068150 200191766 244136300 305170375 400383532 488272600 500479415 515127593 610340750 800767064 1000958830 1030255186 1220681500 2001917660 2060510372 2441363000 2502397075 2575637965 4003835320 4121020744 5004794150 5151275930 10009588300 10302551860 12511985375 12878189825 20019176600 20605103720 21120231313 25023970750 25756379650 42240462626 50047941500 51512759300 64390949125 84480925252 100095883000 103025518600 105601156565 128781898250 168961850504 211202313130 257563796500 422404626260 515127593000 528005782825 844809252520 1056011565650 2112023131300 2640028914125 4224046262600 5280057828250 10560115656500 21120231313000