Search a number
-
+
1101023220 = 22351183101199
BaseRepresentation
bin100000110100000…
…0100011111110100
32211201202202220210
41001220010133310
54223330220340
6301130425420
736166354143
oct10150043764
92751682823
101101023220
11515554050
12268892270
1314714b63b
14a632775a
15669d9180
hex41a047f4

1101023220 has 192 divisors, whose sum is σ = 3454617600. Its totient is φ = 259776000.

The previous prime is 1101023149. The next prime is 1101023227. The reversal of 1101023220 is 223201011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1101023196 and 1101023205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101023227) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5532681 + ... + 5532879.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 21101023220 is an apocalyptic number.

1101023220 is a gapful number since it is divisible by the number (10) 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 1101023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727308800).

1101023220 is an abundant number, since it is smaller than the sum of its proper divisors (2353594380).

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

1101023220 is a wasteful number, since it uses less digits than its factorization.

1101023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1101023220 is about 33181.6699398930. The cubic root of 1101023220 is about 1032.6000919173.

Adding to 1101023220 its reverse (223201011), we get a palindrome (1324224231).

The spelling of 1101023220 in words is "one billion, one hundred one million, twenty-three thousand, two hundred twenty".