Search a number
-
+
101101424 = 24291091999
BaseRepresentation
bin1100000011010…
…10111101110000
321001020111002012
412001222331300
5201340221144
614010542052
72335230224
oct601527560
9231214065
10101101424
1152083aa6
1229a37928
1317c3ac38
14d5da784
158d20e9e
hex606af70

101101424 has 40 divisors (see below), whose sum is σ = 204600000. Its totient is φ = 48335616.

The previous prime is 101101393. The next prime is 101101433. The reversal of 101101424 is 424101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101399 and 101101408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49577 + ... + 51575.

It is an arithmetic number, because the mean of its divisors is an integer number (5115000).

Almost surely, 2101101424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102300000).

101101424 is an abundant number, since it is smaller than the sum of its proper divisors (103498576).

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

101101424 is a wasteful number, since it uses less digits than its factorization.

101101424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 101101424 is about 10054.9203875516. The cubic root of 101101424 is about 465.8567839538.

Adding to 101101424 its reverse (424101101), we get a palindrome (525202525).

It can be divided in two parts, 101101 and 424, that multiplied together give a palindrome (42866824).

The spelling of 101101424 in words is "one hundred one million, one hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 109 116 218 232 436 464 872 1744 1999 3161 3998 6322 7996 12644 15992 25288 31984 50576 57971 115942 217891 231884 435782 463768 871564 927536 1743128 3486256 6318839 12637678 25275356 50550712 101101424