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1143132100 = 2252111736007
BaseRepresentation
bin100010000100010…
…1100111111000100
32221200000010102221
41010020230333010
54320120211400
6305233142124
740220314435
oct10410547704
92850003387
101143132100
115372a5080
1227a9ba944
13152aa3036
14abb6948c
156a555c1a
hex4422cfc4

1143132100 has 72 divisors (see below), whose sum is σ = 2722200768. Its totient is φ = 413212800.

The previous prime is 1143132049. The next prime is 1143132101. The reversal of 1143132100 is 12313411.

It is not an unprimeable number, because it can be changed into a prime (1143132101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187297 + ... + 193303.

It is an arithmetic number, because the mean of its divisors is an integer number (37808344).

Almost surely, 21143132100 is an apocalyptic number.

1143132100 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 1143132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361100384).

1143132100 is an abundant number, since it is smaller than the sum of its proper divisors (1579068668).

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

1143132100 is a wasteful number, since it uses less digits than its factorization.

1143132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1143132100 is about 33810.2366155577. The cubic root of 1143132100 is about 1045.5997564465.

Adding to 1143132100 its reverse (12313411), we get a palindrome (1155445511).

The spelling of 1143132100 in words is "one billion, one hundred forty-three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 173 220 275 346 550 692 865 1100 1730 1903 3460 3806 4325 6007 7612 8650 9515 12014 17300 19030 24028 30035 38060 47575 60070 66077 95150 120140 132154 150175 190300 264308 300350 330385 600700 660770 1039211 1321540 1651925 2078422 3303850 4156844 5196055 6607700 10392110 11431321 20784220 22862642 25980275 45725284 51960550 57156605 103921100 114313210 228626420 285783025 571566050 1143132100