Search a number
-
+
1211300000 = 255512113
BaseRepresentation
bin100100000110010…
…1111100010100000
310010102021102012222
41020030233202200
54440043100000
6320110210212
742005610611
oct11014574240
93112242188
101211300000
11571824689
122997b3968
13163c4c981
14b6c31c08
157151da85
hex4832f8a0

1211300000 has 72 divisors (see below), whose sum is σ = 2980988892. Its totient is φ = 484480000.

The previous prime is 1211299987. The next prime is 1211300009. The reversal of 1211300000 is 31121.

It can be written as a sum of positive squares in 6 ways, for example, as 233111824 + 978188176 = 15268^2 + 31276^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1211300009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93944 + ... + 106056.

Almost surely, 21211300000 is an apocalyptic number.

1211300000 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 1211300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490494446).

1211300000 is an abundant number, since it is smaller than the sum of its proper divisors (1769688892).

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

1211300000 is an frugal number, since it uses more digits than its factorization.

1211300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12148 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1211300000 is about 34803.7354317033. The cubic root of 1211300000 is about 1065.9837208153.

Adding to 1211300000 its reverse (31121), we get a palindrome (1211331121).

The spelling of 1211300000 in words is "one billion, two hundred eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12113 12500 20000 24226 25000 48452 50000 60565 96904 100000 121130 193808 242260 302825 387616 484520 605650 969040 1211300 1514125 1938080 2422600 3028250 4845200 6056500 7570625 9690400 12113000 15141250 24226000 30282500 37853125 48452000 60565000 75706250 121130000 151412500 242260000 302825000 605650000 1211300000