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11200403304 = 2334127136099
BaseRepresentation
bin10100110111001100…
…01001011101101000
31001220120112102220000
422123212021131220
5140414300401204
65051223303000
7544361600016
oct123346113550
931816472800
1011200403304
114828376862
122206baaa60
1310965c339c
147837598b6
15458478039
hex29b989768

11200403304 has 80 divisors (see below), whose sum is σ = 31618752000. Its totient is φ = 3704043168.

The previous prime is 11200403273. The next prime is 11200403339. The reversal of 11200403304 is 40330400211.

11200403304 is digitally balanced in base 2, because in such base 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14247 + ... + 150345.

It is an arithmetic number, because the mean of its divisors is an integer number (395234400).

Almost surely, 211200403304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200403304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809376000).

11200403304 is an abundant number, since it is smaller than the sum of its proper divisors (20418348696).

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

11200403304 is a wasteful number, since it uses less digits than its factorization.

11200403304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136244 (or 136231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11200403304 its reverse (40330400211), we get a palindrome (51530803515).

The spelling of 11200403304 in words is "eleven billion, two hundred million, four hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 254 324 381 508 648 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 10287 13716 20574 27432 41148 82296 136099 272198 408297 544396 816594 1088792 1224891 1633188 2449782 3266376 3674673 4899564 7349346 9799128 11024019 14698692 17284573 22048038 29397384 34569146 44096076 51853719 69138292 88192152 103707438 138276584 155561157 207414876 311122314 414829752 466683471 622244628 933366942 1244489256 1400050413 1866733884 2800100826 3733467768 5600201652 11200403304