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1105201104 = 24377394451
BaseRepresentation
bin100000111100000…
…0000011111010000
32212000122000220020
41001320000133100
54230412413404
6301400143440
736250024440
oct10170003720
92760560806
101105201104
11517947a47
1226a167b80
13147c82167
14a6ad4120
1567061ed9
hex41e007d0

1105201104 has 80 divisors (see below), whose sum is σ = 3268124160. Its totient is φ = 315273600.

The previous prime is 1105201051. The next prime is 1105201147. The reversal of 1105201104 is 4011025011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246079 + ... + 250529.

It is an arithmetic number, because the mean of its divisors is an integer number (40851552).

Almost surely, 21105201104 is an apocalyptic number.

1105201104 is a gapful number since it is divisible by the number (14) 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 1105201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634062080).

1105201104 is an abundant number, since it is smaller than the sum of its proper divisors (2162923056).

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

1105201104 is a wasteful number, since it uses less digits than its factorization.

1105201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1105201104 is about 33244.5650294902. The cubic root of 1105201104 is about 1033.9045264756.

Adding to 1105201104 its reverse (4011025011), we get a palindrome (5116226115).

The spelling of 1105201104 in words is "one billion, one hundred five million, two hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 739 1478 2217 2956 4434 4451 5173 5912 8868 8902 10346 11824 13353 15519 17736 17804 20692 26706 31038 31157 35472 35608 41384 53412 62076 62314 71216 82768 93471 106824 124152 124628 186942 213648 248304 249256 373884 498512 747768 1495536 3289289 6578578 9867867 13157156 19735734 23025023 26314312 39471468 46050046 52628624 69075069 78942936 92100092 138150138 157885872 184200184 276300276 368400368 552600552 1105201104