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2044110100 = 225297359587
BaseRepresentation
bin111100111010110…
…1010010100010100
312021110100112220111
41321311222110110
513141243010400
6534500212404
7101440435444
oct17165522424
95243315814
102044110100
1195993519a
1249069a104
1326764c906
1415569c124
15be6c73ba
hex79d6a514

2044110100 has 72 divisors (see below), whose sum is σ = 4501586880. Its totient is φ = 805585920.

The previous prime is 2044110071. The next prime is 2044110121. The reversal of 2044110100 is 10114402.

It is a super-2 number, since 2×20441101002 = 8356772201844020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3482007 + ... + 3482593.

It is an arithmetic number, because the mean of its divisors is an integer number (62522040).

Almost surely, 22044110100 is an apocalyptic number.

2044110100 is a gapful number since it is divisible by the number (20) 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 2044110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250793440).

2044110100 is an abundant number, since it is smaller than the sum of its proper divisors (2457476780).

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

2044110100 is a wasteful number, since it uses less digits than its factorization.

2044110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2044110100 is about 45211.8358397444. The cubic root of 2044110100 is about 1269.1163174987.

Adding to 2044110100 its reverse (10114402), we get a palindrome (2054224502).

The spelling of 2044110100 in words is "two billion, forty-four million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 359 388 485 587 718 970 1174 1436 1795 1940 2348 2425 2935 3590 4850 5870 7180 8975 9700 11740 14675 17950 29350 34823 35900 56939 58700 69646 113878 139292 174115 210733 227756 284695 348230 421466 569390 696460 842932 870575 1053665 1138780 1423475 1741150 2107330 2846950 3482300 4214660 5268325 5693900 10536650 20441101 21073300 40882202 81764404 102205505 204411010 408822020 511027525 1022055050 2044110100