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11104102240 = 255711281937
BaseRepresentation
bin10100101011101101…
…10010011101100000
31001122212022211122221
422111312302131200
5140220122232430
65033503240424
7542112211630
oct122566623540
931585284587
1011104102240
114788a81400
12219a8a9114
13107c6763ca
14774a4c6c0
1544eca457a
hex295db2760

11104102240 has 144 divisors (see below), whose sum is σ = 32954808096. Its totient is φ = 3460976640.

The previous prime is 11104102231. The next prime is 11104102241. The reversal of 11104102240 is 4220140111.

It is a happy number.

11104102240 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11104102241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 94552 + ... + 176488.

It is an arithmetic number, because the mean of its divisors is an integer number (228852834).

Almost surely, 211104102240 is an apocalyptic number.

11104102240 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 11104102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477404048).

11104102240 is an abundant number, since it is smaller than the sum of its proper divisors (21850705856).

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

11104102240 is a wasteful number, since it uses less digits than its factorization.

11104102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81981 (or 81962 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11104102240 its reverse (4220140111), we get a palindrome (15324242351).

The spelling of 11104102240 in words is "eleven billion, one hundred four million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 220 224 242 280 308 352 385 440 484 560 605 616 770 847 880 968 1120 1210 1232 1540 1694 1760 1936 2420 2464 3080 3388 3872 4235 4840 6160 6776 8470 9680 12320 13552 16940 19360 27104 33880 67760 81937 135520 163874 327748 409685 573559 655496 819370 901307 1147118 1310992 1638740 1802614 2294236 2621984 2867795 3277480 3605228 4506535 4588472 5735590 6309149 6554960 7210456 9013070 9176944 9914377 11471180 12618298 13109920 14420912 18026140 18353888 19828754 22942360 25236596 28841824 31545745 36052280 39657508 45884720 49571885 50473192 63091490 69400639 72104560 79315016 91769440 99143770 100946384 126182980 138801278 144209120 158630032 198287540 201892768 252365960 277602556 317260064 347003195 396575080 504731920 555205112 694006390 793150160 1009463840 1110410224 1388012780 1586300320 2220820448 2776025560 5552051120 11104102240