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132104410400 = 2552165130513
BaseRepresentation
bin111101100001000001…
…0010101010100100000
3110121222120202100222202
41323002002111110200
54131022212113100
6140404331552332
712354445650434
oct1730202252440
9417876670882
10132104410400
115103054a886
12217295bb6a8
13c5c3b77ca1
146572b829c4
15368299c7d5
hex1ec2095520

132104410400 has 36 divisors (see below), whose sum is σ = 322499893842. Its totient is φ = 52841763840.

The previous prime is 132104410343. The next prime is 132104410411. The reversal of 132104410400 is 4014401231.

It can be written as a sum of positive squares in 3 ways, for example, as 65501188624 + 66603221776 = 255932^2 + 258076^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82564457 + ... + 82566056.

Almost surely, 2132104410400 is an apocalyptic number.

132104410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132104410400 is an abundant number, since it is smaller than the sum of its proper divisors (190395483442).

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

132104410400 is a wasteful number, since it uses less digits than its factorization.

132104410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165130533 (or 165130520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 132104410400 its reverse (4014401231), we get a palindrome (136118811631).

The spelling of 132104410400 in words is "one hundred thirty-two billion, one hundred four million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 165130513 330261026 660522052 825652565 1321044104 1651305130 2642088208 3302610260 4128262825 5284176416 6605220520 8256525650 13210441040 16513051300 26420882080 33026102600 66052205200 132104410400