Search a number
-
+
244012042100 = 225224110124981
BaseRepresentation
bin1110001101000001000…
…0000100011101110100
3212022211121201002002202
43203100100010131310
512444214040321400
6304033024524032
723425563064361
oct3432020043564
9768747632082
10244012042100
1194537488912
123b35b180618
131a01964b338
14bb4b459468
1565322ae4d5
hex38d0404774

244012042100 has 36 divisors (see below), whose sum is σ = 531703304748. Its totient is φ = 97199808000.

The previous prime is 244012042093. The next prime is 244012042123. The reversal of 244012042100 is 1240210442.

It can be written as a sum of positive squares in 6 ways, for example, as 76807696 + 243935234404 = 8764^2 + 493898^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 5038391 + ... + 5086590.

It is an arithmetic number, because the mean of its divisors is an integer number (14769536243).

Almost surely, 2244012042100 is an apocalyptic number.

244012042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244012042100 is an abundant number, since it is smaller than the sum of its proper divisors (287691262648).

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

244012042100 is a wasteful number, since it uses less digits than its factorization.

244012042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125236 (or 10125229 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 244012042100 its reverse (1240210442), we get a palindrome (245252252542).

The spelling of 244012042100 in words is "two hundred forty-four billion, twelve million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 10124981 20249962 40499924 50624905 101249810 202499620 253124525 506249050 1012498100 2440120421 4880240842 9760481684 12200602105 24401204210 48802408420 61003010525 122006021050 244012042100