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1102816820 = 2257372111009
BaseRepresentation
bin100000110111011…
…1010011000110100
32211212010220021102
41001232322120310
54224310114240
6301233105232
736220534250
oct10156723064
92755126242
101102816820
11516569666
122693b8218
13147628b41
14a6673260
1566c40815
hex41bba634

1102816820 has 96 divisors (see below), whose sum is σ = 2733884160. Its totient is φ = 365783040.

The previous prime is 1102816817. The next prime is 1102816837. The reversal of 1102816820 is 286182011.

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, 1092476 + ... + 1093484.

It is an arithmetic number, because the mean of its divisors is an integer number (28477960).

Almost surely, 21102816820 is an apocalyptic number.

1102816820 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 1102816820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366942080).

1102816820 is an abundant number, since it is smaller than the sum of its proper divisors (1631067340).

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

1102816820 is a wasteful number, since it uses less digits than its factorization.

1102816820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 1102816820 is about 33208.6859119719. The cubic root of 1102816820 is about 1033.1604999411.

Adding to 1102816820 its reverse (286182011), we get a palindrome (1388998831).

The spelling of 1102816820 in words is "one billion, one hundred two million, eight hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 211 259 370 422 518 740 844 1009 1036 1055 1295 1477 2018 2110 2590 2954 4036 4220 5045 5180 5908 7063 7385 7807 10090 14126 14770 15614 20180 28252 29540 31228 35315 37333 39035 54649 70630 74666 78070 109298 141260 149332 156140 186665 212899 218596 261331 273245 373330 425798 522662 546490 746660 851596 1045324 1064495 1092980 1306655 1490293 2128990 2613310 2980586 4257980 5226620 5961172 7451465 7877263 14902930 15754526 29805860 31509052 39386315 55140841 78772630 110281682 157545260 220563364 275704205 551408410 1102816820