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132103110100 = 225213772713151
BaseRepresentation
bin111101100000111110…
…1010111110111010100
3110121222111022022022111
41323001331113313110
54131021344010400
6140404244040404
712354431623453
oct1730175276724
9417874268274
10132103110100
115102a841955
1221729093104
13c5c3811190
146572924b9a
1536827e23ba
hex1ec1f57dd4

132103110100 has 72 divisors (see below), whose sum is σ = 308778236928. Its totient is φ = 48766512000.

The previous prime is 132103110091. The next prime is 132103110107. The reversal of 132103110100 is 1011301231.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132103110107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10038525 + ... + 10051675.

It is an arithmetic number, because the mean of its divisors is an integer number (4288586624).

Almost surely, 2132103110100 is an apocalyptic number.

132103110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132103110100 is an abundant number, since it is smaller than the sum of its proper divisors (176675126828).

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

132103110100 is a wasteful number, since it uses less digits than its factorization.

132103110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20905 (or 20898 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 132103110100 its reverse (1011301231), we get a palindrome (133114411331).

The spelling of 132103110100 in words is "one hundred thirty-two billion, one hundred three million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 7727 13151 15454 26302 30908 38635 52604 65755 77270 100451 131510 154540 170963 193175 200902 263020 328775 341926 386350 401804 502255 657550 683852 772700 854815 1004510 1315100 1709630 2009020 2511275 3419260 4274075 5022550 8548150 10045100 17096300 101617777 203235554 406471108 508088885 1016177770 1321031101 2032355540 2540444425 2642062202 5080888850 5284124404 6605155505 10161777700 13210311010 26420622020 33025777525 66051555050 132103110100