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132431100400 = 2452707946769
BaseRepresentation
bin111101101010110000…
…0100011100111110000
3110122211100110221102101
41323111200203213300
54132204330203100
6140501002030144
712365523531424
oct1732540434760
9418740427371
10132431100400
11511889a3915
12217baaa8354
13c64675c291
1465a4302b84
1536a14ce86a
hex1ed58239f0

132431100400 has 60 divisors (see below), whose sum is σ = 318217467600. Its totient is φ = 52963824640.

The previous prime is 132431100379. The next prime is 132431100437. The reversal of 132431100400 is 4001134231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2808216 + ... + 2854984.

It is an arithmetic number, because the mean of its divisors is an integer number (5303624460).

Almost surely, 2132431100400 is an apocalyptic number.

132431100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132431100400 is an abundant number, since it is smaller than the sum of its proper divisors (185786367200).

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

132431100400 is a wasteful number, since it uses less digits than its factorization.

132431100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53866 (or 53855 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 132431100400 its reverse (4001134231), we get a palindrome (136432234631).

The spelling of 132431100400 in words is "one hundred thirty-two billion, four hundred thirty-one million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 7079 14158 28316 35395 46769 56632 70790 93538 113264 141580 176975 187076 233845 283160 353950 374152 467690 566320 707900 748304 935380 1169225 1415800 1870760 2338450 2831600 3741520 4676900 9353800 18707600 331077751 662155502 1324311004 1655388755 2648622008 3310777510 5297244016 6621555020 8276943775 13243110040 16553887550 26486220080 33107775100 66215550200 132431100400