Search a number
-
+
1100097152 = 27711273139
BaseRepresentation
bin100000110010010…
…0010011010000000
32211200000201120222
41001210202122000
54223111102102
6301054522212
736155446220
oct10144423200
92750021528
101100097152
11514a81300
12268506368
13146bb5c7b
14a6166080
15668a4aa2
hex41922680

1100097152 has 192 divisors, whose sum is σ = 2810875200. Its totient is φ = 419696640.

The previous prime is 1100097137. The next prime is 1100097157. The reversal of 1100097152 is 2517900011.

It is a super-2 number, since 2×11000971522 = 2420427487677022208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100097157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7914299 + ... + 7914437.

It is an arithmetic number, because the mean of its divisors is an integer number (14639975).

Almost surely, 21100097152 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 1100097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405437600).

1100097152 is an abundant number, since it is smaller than the sum of its proper divisors (1710778048).

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

1100097152 is a wasteful number, since it uses less digits than its factorization.

1100097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 1100097152 is about 33167.7124927240. The cubic root of 1100097152 is about 1032.3105048883.

Adding to 1100097152 its reverse (2517900011), we get a palindrome (3617997163).

The spelling of 1100097152 in words is "one billion, one hundred million, ninety-seven thousand, one hundred fifty-two".