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131422000 = 2453232857
BaseRepresentation
bin1111101010101…
…01011100110000
3100011021221002111
413311111130300
5232121001000
621012455104
73154032343
oct765253460
9304257074
10131422000
1168203326
123801a494
13212c5ac8
141365045a
15b80ecba
hex7d55730

131422000 has 80 divisors (see below), whose sum is σ = 331710912. Its totient is φ = 50265600.

The previous prime is 131421991. The next prime is 131422007. The reversal of 131422000 is 224131.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (131422007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44572 + ... + 47428.

Almost surely, 2131422000 is an apocalyptic number.

131422000 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 131422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165855456).

131422000 is an abundant number, since it is smaller than the sum of its proper divisors (200288912).

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

131422000 is a wasteful number, since it uses less digits than its factorization.

131422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 131422000 is about 11463.9434750874. The cubic root of 131422000 is about 508.4200753764.

Adding to 131422000 its reverse (224131), we get a palindrome (131646131).

The spelling of 131422000 in words is "one hundred thirty-one million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2857 2875 4600 5714 5750 9200 11428 11500 14285 22856 23000 28570 45712 46000 57140 65711 71425 114280 131422 142850 228560 262844 285700 328555 357125 525688 571400 657110 714250 1051376 1142800 1314220 1428500 1642775 2628440 2857000 3285550 5256880 5714000 6571100 8213875 13142200 16427750 26284400 32855500 65711000 131422000