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131422400 = 265282139
BaseRepresentation
bin1111101010101…
…01100011000000
3100011021221122022
413311111203000
5232121004100
621012501012
73154033454
oct765254300
9304257568
10131422400
116820365a
123801a768
13212c6045
1413650664
15b80ee85
hex7d558c0

131422400 has 42 divisors (see below), whose sum is σ = 323385180. Its totient is φ = 52568320.

The previous prime is 131422381. The next prime is 131422453. The reversal of 131422400 is 4224131.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 39470 + ... + 42669.

Almost surely, 2131422400 is an apocalyptic number.

131422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131422400 is an abundant number, since it is smaller than the sum of its proper divisors (191962780).

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

131422400 is an equidigital number, since it uses as much as digits as its factorization.

131422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82161 (or 82146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 131422400 is about 11463.9609210778. The cubic root of 131422400 is about 508.4205911901.

Adding to 131422400 its reverse (4224131), we get a palindrome (135646531).

The spelling of 131422400 in words is "one hundred thirty-one million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 82139 164278 328556 410695 657112 821390 1314224 1642780 2053475 2628448 3285560 4106950 5256896 6571120 8213900 13142240 16427800 26284480 32855600 65711200 131422400