Search a number
-
+
1125120150 = 23252711191709
BaseRepresentation
bin100001100001111…
…1111100010010110
32220102010000200200
41003003333202112
54301012321100
6303351121330
736611235450
oct10303774226
92812100620
101125120150
11528112470
12274973246
1314c13778b
14a95db2d0
1568b98e00
hex430ff896

1125120150 has 288 divisors, whose sum is σ = 3969388800. Its totient is φ = 221356800.

The previous prime is 1125120149. The next prime is 1125120181. The reversal of 1125120150 is 510215211.

1125120150 is a `hidden beast` number, since 1 + 1 + 2 + 512 + 0 + 150 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 657496 + ... + 659204.

It is an arithmetic number, because the mean of its divisors is an integer number (13782600).

Almost surely, 21125120150 is an apocalyptic number.

1125120150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125120150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984694400).

1125120150 is an abundant number, since it is smaller than the sum of its proper divisors (2844268650).

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

1125120150 is a wasteful number, since it uses less digits than its factorization.

1125120150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1125120150 is about 33542.8107051273. The cubic root of 1125120150 is about 1040.0789357000.

Adding to 1125120150 its reverse (510215211), we get a palindrome (1635335361).

The spelling of 1125120150 in words is "one billion, one hundred twenty-five million, one hundred twenty thousand, one hundred fifty".