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1104444100 = 2252172292837
BaseRepresentation
bin100000111010100…
…0111101011000100
32211222012120111001
41001311013223010
54230214202400
6301332023044
736240422434
oct10165075304
92758176431
101104444100
11517480221
12269a61a84
13147a78726
14a69782c4
1566e62a6a
hex41d47ac4

1104444100 has 72 divisors (see below), whose sum is σ = 2549602440. Its totient is φ = 413829120.

The previous prime is 1104444097. The next prime is 1104444109. The reversal of 1104444100 is 14444011.

It can be written as a sum of positive squares in 12 ways, for example, as 188897536 + 915546564 = 13744^2 + 30258^2 .

It is not an unprimeable number, because it can be changed into a prime (1104444109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387882 + ... + 390718.

It is an arithmetic number, because the mean of its divisors is an integer number (35411145).

Almost surely, 21104444100 is an apocalyptic number.

1104444100 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 1104444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274801220).

1104444100 is an abundant number, since it is smaller than the sum of its proper divisors (1445158340).

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

1104444100 is a wasteful number, since it uses less digits than its factorization.

1104444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1104444100 is about 33233.1776994015. The cubic root of 1104444100 is about 1033.6684160147.

Adding to 1104444100 its reverse (14444011), we get a palindrome (1118888111).

The spelling of 1104444100 in words is "one billion, one hundred four million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 229 340 425 458 850 916 1145 1700 2290 2837 3893 4580 5674 5725 7786 11348 11450 14185 15572 19465 22900 28370 38930 48229 56740 70925 77860 96458 97325 141850 192916 194650 241145 283700 389300 482290 649673 964580 1205725 1299346 2411450 2598692 3248365 4822900 6496730 11044441 12993460 16241825 22088882 32483650 44177764 55222205 64967300 110444410 220888820 276111025 552222050 1104444100