Search a number
-
+
1143032100 = 223527291372
BaseRepresentation
bin100010000100001…
…0100100100100100
32221122211001021020
41010020110210210
54320104011400
6305231051140
740216420050
oct10410244444
92848731236
101143032100
11537236a31
1227a970ab0
13152a69672
14abb40c60
156a5362a0
hex44214924

1143032100 has 216 divisors, whose sum is σ = 3938706240. Its totient is φ = 250414080.

The previous prime is 1143032089. The next prime is 1143032113. The reversal of 1143032100 is 12303411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1143032100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8343232 + ... + 8343368.

Almost surely, 21143032100 is an apocalyptic number.

1143032100 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 1143032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969353120).

1143032100 is an abundant number, since it is smaller than the sum of its proper divisors (2795674140).

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

1143032100 is a wasteful number, since it uses less digits than its factorization.

1143032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1143032100 is about 33808.7577411534. The cubic root of 1143032100 is about 1045.5692662331.

Adding to 1143032100 its reverse (12303411), we get a palindrome (1155335511).

It can be divided in two parts, 114303 and 2100, that added together give a triangular number (116403 = T482).

The spelling of 1143032100 in words is "one billion, one hundred forty-three million, thirty-two thousand, one hundred".