Search a number
-
+
1132213000 = 23533136523
BaseRepresentation
bin100001101111100…
…0011001100001000
32220220110101020211
41003133003030020
54304321304000
6304203130504
740025436352
oct10337031410
92826411224
101132213000
11531117426
12277213a34
1315074c029
14aa5260d2
15695ea7ba
hex437c3308

1132213000 has 64 divisors (see below), whose sum is σ = 2734917120. Its totient is φ = 438264000.

The previous prime is 1132212997. The next prime is 1132213051. The reversal of 1132213000 is 3122311.

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 15 ways as a sum of consecutive naturals, for example, 12739 + ... + 49261.

It is an arithmetic number, because the mean of its divisors is an integer number (42733080).

Almost surely, 21132213000 is an apocalyptic number.

1132213000 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 1132213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367458560).

1132213000 is an abundant number, since it is smaller than the sum of its proper divisors (1602704120).

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

1132213000 is a wasteful number, since it uses less digits than its factorization.

1132213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36575 (or 36561 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1132213000 is about 33648.3729175721. The cubic root of 1132213000 is about 1042.2599400859.

Adding to 1132213000 its reverse (3122311), we get a palindrome (1135335311).

The spelling of 1132213000 in words is "one billion, one hundred thirty-two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 15500 31000 36523 73046 146092 182615 292184 365230 730460 913075 1132213 1460920 1826150 2264426 3652300 4528852 4565375 5661065 7304600 9057704 9130750 11322130 18261500 22644260 28305325 36523000 45288520 56610650 113221300 141526625 226442600 283053250 566106500 1132213000