Search a number
-
+
1131320000 = 265428283
BaseRepresentation
bin100001101101110…
…1001001011000000
32220211210000021202
41003123221023000
54304104220000
6304132040332
740015030016
oct10333511300
92824700252
101131320000
11530667508
12276a630a8
131504c8725
14aa3728b6
15694c0dd5
hex436e92c0

1131320000 has 70 divisors (see below), whose sum is σ = 2805405108. Its totient is φ = 452512000.

The previous prime is 1131319999. The next prime is 1131320017. The reversal of 1131320000 is 231311.

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 9 ways as a sum of consecutive naturals, for example, 25859 + ... + 54141.

Almost surely, 21131320000 is an apocalyptic number.

1131320000 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 1131320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402702554).

1131320000 is an abundant number, since it is smaller than the sum of its proper divisors (1674085108).

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

1131320000 is an frugal number, since it uses more digits than its factorization.

1131320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28315 (or 28290 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1131320000 is about 33635.1007133917. The cubic root of 1131320000 is about 1041.9858506312.

Adding to 1131320000 its reverse (231311), we get a palindrome (1131551311).

It can be divided in two parts, 11313 and 20000, that added together give a palindrome (31313).

The spelling of 1131320000 in words is "one billion, one hundred thirty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 28283 40000 56566 113132 141415 226264 282830 452528 565660 707075 905056 1131320 1414150 1810112 2262640 2828300 3535375 4525280 5656600 7070750 9050560 11313200 14141500 17676875 22626400 28283000 35353750 45252800 56566000 70707500 113132000 141415000 226264000 282830000 565660000 1131320000