Search a number
-
+
1122300000 = 2532552943
BaseRepresentation
bin100001011100100…
…1111000001100000
32220012210202011200
41002321033001200
54244302100000
6303210441200
736545251443
oct10271170140
92805722150
101122300000
11526566668
12273a33200
1314b68ac53
14a90a565a
15687dd500
hex42e4f060

1122300000 has 432 divisors, whose sum is σ = 4222698480. Its totient is φ = 282240000.

The previous prime is 1122299993. The next prime is 1122300001. The reversal of 1122300000 is 32211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122300001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26099979 + ... + 26100021.

It is an arithmetic number, because the mean of its divisors is an integer number (9774765).

Almost surely, 21122300000 is an apocalyptic number.

1122300000 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 1122300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111349240).

1122300000 is an abundant number, since it is smaller than the sum of its proper divisors (3100398480).

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

1122300000 is an equidigital number, since it uses as much as digits as its factorization.

1122300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1122300000 is about 33500.7462603447. The cubic root of 1122300000 is about 1039.2092114810.

Adding to 1122300000 its reverse (32211), we get a palindrome (1122332211).

The spelling of 1122300000 in words is "one billion, one hundred twenty-two million, three hundred thousand".