Search a number
-
+
4112422100 = 2252199720593
BaseRepresentation
bin1111010100011110…
…1001010011010100
3101121121020200120122
43311013221103110
531410240001400
61520023251112
7203624003543
oct36507512324
911547220518
104112422100
11182039a656
129692a9a98
13506cc4377
142b025a15a
15191080685
hexf51e94d4

4112422100 has 36 divisors (see below), whose sum is σ = 8928858204. Its totient is φ = 1644065280.

The previous prime is 4112422063. The next prime is 4112422109. The reversal of 4112422100 is 12242114.

It can be written as a sum of positive squares in 6 ways, for example, as 87534736 + 4024887364 = 9356^2 + 63442^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112422109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189404 + ... + 209996.

It is an arithmetic number, because the mean of its divisors is an integer number (248023839).

Almost surely, 24112422100 is an apocalyptic number.

It is an amenable number.

4112422100 is an abundant number, since it is smaller than the sum of its proper divisors (4816436104).

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

4112422100 is a wasteful number, since it uses less digits than its factorization.

4112422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22604 (or 22597 counting only the distinct ones).

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

The square root of 4112422100 is about 64128.1693173912. The cubic root of 4112422100 is about 1602.1354429301.

Adding to 4112422100 its reverse (12242114), we get a palindrome (4124664214).

The spelling of 4112422100 in words is "four billion, one hundred twelve million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1997 3994 7988 9985 19970 20593 39940 41186 49925 82372 99850 102965 199700 205930 411860 514825 1029650 2059300 41124221 82248442 164496884 205621105 411242210 822484420 1028105525 2056211050 4112422100