Search a number
-
+
1133132130 = 23251343101223
BaseRepresentation
bin100001110001010…
…0011100101100010
32220222012002001200
41003202203211202
54310040212010
6304234542030
740036315134
oct10342434542
92828162050
101133132130
11531694a39
12277597916
131509b14b0
14aa6c5054
156972ccc0
hex438a3962

1133132130 has 192 divisors, whose sum is σ = 3293402112. Its totient is φ = 268531200.

The previous prime is 1133132101. The next prime is 1133132131. The reversal of 1133132130 is 312313311.

It is a happy number.

1133132130 is a `hidden beast` number, since 11 + 331 + 321 + 3 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1133132131) 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 95 ways as a sum of consecutive naturals, for example, 5081199 + ... + 5081421.

It is an arithmetic number, because the mean of its divisors is an integer number (17153136).

Almost surely, 21133132130 is an apocalyptic number.

1133132130 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 1133132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646701056).

1133132130 is an abundant number, since it is smaller than the sum of its proper divisors (2160269982).

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

1133132130 is a wasteful number, since it uses less digits than its factorization.

1133132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1133132130 is about 33662.0280137724. The cubic root of 1133132130 is about 1042.5418991838.

Adding to 1133132130 its reverse (312313311), we get a palindrome (1445445441).

The spelling of 1133132130 in words is "one billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred thirty".