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11016351200 = 2552128310733
BaseRepresentation
bin10100100001010000…
…00010110111100000
31001102202012121212102
422100220002313200
5140030141214300
65021050345532
7536665303661
oct122050026740
931382177772
1011016351200
114743496788
12217542b2a8
13106743100a
14767129368
1544721e0d5
hex290a02de0

11016351200 has 72 divisors (see below), whose sum is σ = 26917136568. Its totient is φ = 4402695680.

The previous prime is 11016351179. The next prime is 11016351223. The reversal of 11016351200 is 215361011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021034 + ... + 1031766.

It is an arithmetic number, because the mean of its divisors is an integer number (373849119).

Almost surely, 211016351200 is an apocalyptic number.

11016351200 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 11016351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13458568284).

11016351200 is an abundant number, since it is smaller than the sum of its proper divisors (15900785368).

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

11016351200 is a wasteful number, since it uses less digits than its factorization.

11016351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12036 (or 12023 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 11016351200 in words is "eleven billion, sixteen million, three hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1283 2566 5132 6415 10264 10733 12830 20528 21466 25660 32075 41056 42932 51320 53665 64150 85864 102640 107330 128300 171728 205280 214660 256600 268325 343456 429320 513200 536650 858640 1026400 1073300 1717280 2146600 4293200 8586400 13770439 27540878 55081756 68852195 110163512 137704390 220327024 275408780 344260975 440654048 550817560 688521950 1101635120 1377043900 2203270240 2754087800 5508175600 11016351200