Search a number
-
+
44201212100 = 22521726000713
BaseRepresentation
bin101001001010100110…
…001111100011000100
311020002110101020001122
4221022212033203010
51211011002241400
632150013213112
73123230050403
oct511246174304
9136073336048
1044201212100
1117822482961
128696a91198
134225593b96
1421d453b63a
15123a755685
hexa4a98f8c4

44201212100 has 36 divisors (see below), whose sum is σ = 101558788884. Its totient is φ = 16640455680.

The previous prime is 44201212073. The next prime is 44201212129. The reversal of 44201212100 is 121210244.

It can be written as a sum of positive squares in 6 ways, for example, as 5066877124 + 39134334976 = 71182^2 + 197824^2 .

It is a super-2 number, since 2×442012121002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12998657 + ... + 13002056.

It is an arithmetic number, because the mean of its divisors is an integer number (2821077469).

Almost surely, 244201212100 is an apocalyptic number.

It is an amenable number.

44201212100 is an abundant number, since it is smaller than the sum of its proper divisors (57357576784).

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

44201212100 is a wasteful number, since it uses less digits than its factorization.

44201212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26000744 (or 26000737 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 44201212100 its reverse (121210244), we get a palindrome (44322422344).

The spelling of 44201212100 in words is "forty-four billion, two hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 26000713 52001426 104002852 130003565 260007130 442012121 520014260 650017825 884024242 1300035650 1768048484 2210060605 2600071300 4420121210 8840242420 11050303025 22100606050 44201212100