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1103311104 = 2837238923
BaseRepresentation
bin100000111000011…
…0011000100000000
32211220002000022020
41001300303010000
54224421423404
6301251441440
736224663310
oct10160630400
92756060266
101103311104
11516876a65
122695b6280
1314776cb0c
14a6761440
1566cdbed9
hex41c33100

1103311104 has 144 divisors (see below), whose sum is σ = 3502205952. Its totient is φ = 301492224.

The previous prime is 1103311093. The next prime is 1103311109. The reversal of 1103311104 is 4011133011.

It is not an unprimeable number, because it can be changed into a prime (1103311109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119187 + ... + 128109.

Almost surely, 21103311104 is an apocalyptic number.

1103311104 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 1103311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751102976).

1103311104 is an abundant number, since it is smaller than the sum of its proper divisors (2398894848).

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

1103311104 is an equidigital number, since it uses as much as digits as its factorization.

1103311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8972 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1103311104 is about 33216.1271673866. The cubic root of 1103311104 is about 1033.3148315337.

Adding to 1103311104 its reverse (4011133011), we get a palindrome (5114444115).

The spelling of 1103311104 in words is "one billion, one hundred three million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 8923 10304 15456 17664 17846 20608 26769 30912 35692 41216 53538 61824 62461 71384 107076 123648 124922 142768 187383 205229 214152 249844 285536 374766 410458 428304 499688 571072 615687 749532 820916 856608 999376 1142144 1231374 1436603 1499064 1641832 1713216 1998752 2284288 2462748 2873206 2998128 3283664 3426432 3997504 4309809 4925496 5746412 5996256 6567328 6852864 7995008 8619618 9850992 11492824 11992512 13134656 15990016 17239236 19701984 22985648 23985024 26269312 34478472 39403968 45971296 47970048 52538624 68956944 78807936 91942592 137913888 157615872 183885184 275827776 367770368 551655552 1103311104