Search a number
-
+
1100146500 = 2232531773197
BaseRepresentation
bin100000110010010…
…1110011101000100
32211200010020021200
41001210232131010
54223114142000
6301055542500
736156043125
oct10144563504
92750106250
101100146500
11515005392
1226852aa30
13146c0257b
14a617a04c
15668b4500
hex4192e744

1100146500 has 288 divisors, whose sum is σ = 3743996256. Its totient is φ = 270950400.

The previous prime is 1100146469. The next prime is 1100146543. The reversal of 1100146500 is 56410011.

1100146500 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 14 + 650 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 248440644 + 851705856 = 15762^2 + 29184^2 .

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

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 95 ways as a sum of consecutive naturals, for example, 5584402 + ... + 5584598.

It is an arithmetic number, because the mean of its divisors is an integer number (12999987).

Almost surely, 21100146500 is an apocalyptic number.

1100146500 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 1100146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871998128).

1100146500 is an abundant number, since it is smaller than the sum of its proper divisors (2643849756).

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

1100146500 is a wasteful number, since it uses less digits than its factorization.

1100146500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1100146500 is about 33168.4564006226. The cubic root of 1100146500 is about 1032.3259404030.

Adding to 1100146500 its reverse (56410011), we get a palindrome (1156556511).

The spelling of 1100146500 in words is "one billion, one hundred million, one hundred forty-six thousand, five hundred".