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1134152200 = 235246112301
BaseRepresentation
bin100001110011001…
…1100101000001000
32221001002220100001
41003212130220020
54310320332300
6304312452344
740051064116
oct10346345010
92831086301
101134152200
11532221375
122779aa0b4
13150c7a89c
14aa8acab6
156988016a
hex4399ca08

1134152200 has 48 divisors (see below), whose sum is σ = 2642838660. Its totient is φ = 452640000.

The previous prime is 1134152179. The next prime is 1134152251. The reversal of 1134152200 is 22514311.

It can be written as a sum of positive squares in 6 ways, for example, as 238826116 + 895326084 = 15454^2 + 29922^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86050 + ... + 98350.

Almost surely, 21134152200 is an apocalyptic number.

1134152200 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 1134152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321419330).

1134152200 is an abundant number, since it is smaller than the sum of its proper divisors (1508686460).

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

1134152200 is a wasteful number, since it uses less digits than its factorization.

1134152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12778 (or 12769 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1134152200 is about 33677.1762474231. The cubic root of 1134152200 is about 1042.8546449287.

Adding to 1134152200 its reverse (22514311), we get a palindrome (1156666511).

The spelling of 1134152200 in words is "one billion, one hundred thirty-four million, one hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 461 922 1844 2305 3688 4610 9220 11525 12301 18440 23050 24602 46100 49204 61505 92200 98408 123010 246020 307525 492040 615050 1230100 2460200 5670761 11341522 22683044 28353805 45366088 56707610 113415220 141769025 226830440 283538050 567076100 1134152200