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1021133340 = 22325191272351
BaseRepresentation
bin111100110111010…
…100001000011100
32122011102221121100
4330313110020130
54042402231330
6245154233100
734206330063
oct7467241034
92564387540
101021133340
11484448657
12245b85790
13133729416
149988d1da
155e9a8060
hex3cdd421c

1021133340 has 144 divisors (see below), whose sum is σ = 3287531520. Its totient is φ = 255830400.

The previous prime is 1021133303. The next prime is 1021133371. The reversal of 1021133340 is 433311201.

1021133340 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 433165 + ... + 435515.

It is an arithmetic number, because the mean of its divisors is an integer number (22830080).

Almost surely, 21021133340 is an apocalyptic number.

1021133340 is a gapful number since it is divisible by the number (10) 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 1021133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643765760).

1021133340 is an abundant number, since it is smaller than the sum of its proper divisors (2266398180).

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

1021133340 is a wasteful number, since it uses less digits than its factorization.

1021133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1021133340 is about 31955.1770453553. The cubic root of 1021133340 is about 1006.9953969798.

Adding to 1021133340 its reverse (433311201), we get a palindrome (1454444541).

The spelling of 1021133340 in words is "one billion, twenty-one million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 127 171 180 190 228 254 285 342 380 381 508 570 635 684 762 855 1140 1143 1270 1524 1710 1905 2286 2351 2413 2540 3420 3810 4572 4702 4826 5715 7053 7239 7620 9404 9652 11430 11755 12065 14106 14478 21159 21717 22860 23510 24130 28212 28956 35265 36195 42318 43434 44669 47020 48260 70530 72390 84636 86868 89338 105795 108585 134007 141060 144780 178676 211590 217170 223345 268014 298577 402021 423180 434340 446690 536028 597154 670035 804042 893380 895731 1194308 1340070 1492885 1608084 1791462 2010105 2680140 2687193 2985770 3582924 4020210 4478655 5374386 5672963 5971540 8040420 8957310 10748772 11345926 13435965 17018889 17914620 22691852 26871930 28364815 34037778 51056667 53743860 56729630 68075556 85094445 102113334 113459260 170188890 204226668 255283335 340377780 510566670 1021133340