Search a number
-
+
1101222720 = 263251367439
BaseRepresentation
bin100000110100011…
…0101001101000000
32211202010220120200
41001220311031000
54223403111340
6301135005200
736201144603
oct10150651500
92752126520
101101222720
1151567aa24
12268969800
131471bb3a0
14a637a33a
1566a28330
hex41a35340

1101222720 has 336 divisors, whose sum is σ = 4149425280. Its totient is φ = 266416128.

The previous prime is 1101222701. The next prime is 1101222743. The reversal of 1101222720 is 272221011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1101222693 and 1101222702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2508261 + ... + 2508699.

It is an arithmetic number, because the mean of its divisors is an integer number (12349480).

Almost surely, 21101222720 is an apocalyptic number.

1101222720 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 1101222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074712640).

1101222720 is an abundant number, since it is smaller than the sum of its proper divisors (3048202560).

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

1101222720 is a wasteful number, since it uses less digits than its factorization.

1101222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1101222720 is about 33184.6759815430. The cubic root of 1101222720 is about 1032.6624555059.

Adding to 1101222720 its reverse (272221011), we get a palindrome (1373443731).

The spelling of 1101222720 in words is "one billion, one hundred one million, two hundred twenty-two thousand, seven hundred twenty".