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2021021011300 = 22521729241170101
BaseRepresentation
bin11101011010001110001…
…111010100110101100100
321011012121102120212102011
4131122032033110311210
5231103022334330200
64144235542124004
7266004533103214
oct35321617246544
97135542525364
102021021011300
1170a1237447a5
1228782ba20604
131187736249b5
146db645d2244
15378886ca5ba
hex1d68e3d4d64

2021021011300 has 144 divisors (see below), whose sum is σ = 4823677671120. Its totient is φ = 731566080000.

The previous prime is 2021021011267. The next prime is 2021021011327. The reversal of 2021021011300 is 31101201202.

It can be written as a sum of positive squares in 24 ways, for example, as 1085463924736 + 935557086564 = 1041856^2 + 967242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11796250 + ... + 11966350.

It is an arithmetic number, because the mean of its divisors is an integer number (33497761605).

Almost surely, 22021021011300 is an apocalyptic number.

2021021011300 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 2021021011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411838835560).

2021021011300 is an abundant number, since it is smaller than the sum of its proper divisors (2802656659820).

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

2021021011300 is a wasteful number, since it uses less digits than its factorization.

2021021011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170402 (or 170395 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2021021011300 its reverse (31101201202), we get a palindrome (2052122212502).

The spelling of 2021021011300 in words is "two trillion, twenty-one billion, twenty-one million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 241 290 340 425 482 493 580 725 850 964 986 1205 1450 1700 1972 2410 2465 2900 4097 4820 4930 6025 6989 8194 9860 12050 12325 13978 16388 20485 24100 24650 27956 34945 40970 49300 69890 81940 102425 118813 139780 170101 174725 204850 237626 340202 349450 409700 475252 594065 680404 698900 850505 1188130 1701010 2376260 2891717 2970325 3402020 4252525 4932929 5783434 5940650 8505050 9865858 11566868 11881300 14458585 17010100 19731716 24664645 28917170 40994341 49329290 57834340 72292925 81988682 83859793 98658580 123323225 144585850 163977364 167719586 204971705 246646450 289171700 335439172 409943410 419298965 493292900 696903797 819886820 838597930 1024858525 1188835889 1393807594 1677195860 2049717050 2096494825 2377671778 2787615188 3484518985 4099434100 4192989650 4755343556 5944179445 6969037970 8385979300 11888358890 13938075940 17422594925 20210210113 23776717780 29720897225 34845189850 40420420226 59441794450 69690379700 80840840452 101051050565 118883588900 202102101130 404204202260 505255252825 1010510505650 2021021011300