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11103120320 = 265591913079
BaseRepresentation
bin10100101011100110…
…00010101111000000
31001122210110221201112
422111303002233000
5140214344322240
65033430222452
7542100652115
oct122563025700
931583427645
1011103120320
1147884706a6
12219a4b4a28
13107c3c14a6
1477487490c
1544eb5d665
hex295cc2bc0

11103120320 has 112 divisors (see below), whose sum is σ = 27036979200. Its totient is φ = 4341703680.

The previous prime is 11103120319. The next prime is 11103120331. The reversal of 11103120320 is 2302130111.

It is a junction number, because it is equal to n+sod(n) for n = 11103120295 and 11103120304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3604541 + ... + 3607619.

It is an arithmetic number, because the mean of its divisors is an integer number (241401600).

Almost surely, 211103120320 is an apocalyptic number.

11103120320 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 11103120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518489600).

11103120320 is an abundant number, since it is smaller than the sum of its proper divisors (15933858880).

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

11103120320 is a wasteful number, since it uses less digits than its factorization.

11103120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11103120320 its reverse (2302130111), we get a palindrome (13405250431).

The spelling of 11103120320 in words is "eleven billion, one hundred three million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 191 236 295 320 382 472 590 764 944 955 1180 1528 1888 1910 2360 3056 3079 3776 3820 4720 6112 6158 7640 9440 11269 12224 12316 15280 15395 18880 22538 24632 30560 30790 45076 49264 56345 61120 61580 90152 98528 112690 123160 180304 181661 197056 225380 246320 360608 363322 450760 492640 588089 721216 726644 901520 908305 985280 1176178 1453288 1803040 1816610 2352356 2906576 2940445 3606080 3633220 4704712 5813152 5880890 7266440 9409424 11626304 11761780 14532880 18818848 23523560 29065760 34697251 37637696 47047120 58131520 69394502 94094240 138789004 173486255 188188480 277578008 346972510 555156016 693945020 1110312032 1387890040 2220624064 2775780080 5551560160 11103120320