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1130220000 = 25335471323
BaseRepresentation
bin100001101011101…
…1100100111100000
32220202201010101000
41003113130213200
54303314020000
6304052312000
740002466020
oct10327344740
92822633330
101130220000
1152aa86018
12276612600
13150201b40
14aa167a80
1569355000
hex435dc9e0

1130220000 has 960 divisors, whose sum is σ = 5290306560. Its totient is φ = 228096000.

The previous prime is 1130219999. The next prime is 1130220001. The reversal of 1130220000 is 220311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1130219999) and next prime (1130220001).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130220001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49139989 + ... + 49140011.

It is an arithmetic number, because the mean of its divisors is an integer number (5510736).

Almost surely, 21130220000 is an apocalyptic number.

1130220000 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 1130220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645153280).

1130220000 is an abundant number, since it is smaller than the sum of its proper divisors (4160086560).

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

1130220000 is a wasteful number, since it uses less digits than its factorization.

1130220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

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

The square root of 1130220000 is about 33618.7447713326. The cubic root of 1130220000 is about 1041.6480281109.

Adding to 1130220000 its reverse (220311), we get a palindrome (1130440311).

The spelling of 1130220000 in words is "one billion, one hundred thirty million, two hundred twenty thousand".