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11102212320 = 2535211109619
BaseRepresentation
bin10100101011011111…
…00101000011100000
31001122201202211011220
422111233211003200
5140214131243240
65033354535040
7542060150643
oct122557450340
931581684156
1011102212320
114787a00491
12219a137480
13107c164104
147746b9a5a
1544ea2e5d0
hex295be50e0

11102212320 has 96 divisors (see below), whose sum is σ = 35138033280. Its totient is φ = 2946531840.

The previous prime is 11102212313. The next prime is 11102212327. The reversal of 11102212320 is 2321220111.

It is an interprime number because it is at equal distance from previous prime (11102212313) and next prime (11102212327).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11102212320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102212327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46471 + ... + 156089.

It is an arithmetic number, because the mean of its divisors is an integer number (366021180).

Almost surely, 211102212320 is an apocalyptic number.

11102212320 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 11102212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17569016640).

11102212320 is an abundant number, since it is smaller than the sum of its proper divisors (24035820960).

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

11102212320 is a wasteful number, since it uses less digits than its factorization.

11102212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109848 (or 109840 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11102212320 its reverse (2321220111), we get a palindrome (13423432431).

The spelling of 11102212320 in words is "eleven billion, one hundred two million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 211 240 422 480 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 16880 20256 25320 33760 50640 101280 109619 219238 328857 438476 548095 657714 876952 1096190 1315428 1644285 1753904 2192380 2630856 3288570 3507808 4384760 5261712 6577140 8769520 10523424 13154280 17539040 23129609 26308560 46259218 52617120 69388827 92518436 115648045 138777654 185036872 231296090 277555308 346944135 370073744 462592180 555110616 693888270 740147488 925184360 1110221232 1387776540 1850368720 2220442464 2775553080 3700737440 5551106160 11102212320