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131003000 = 2353269487
BaseRepresentation
bin1111100111011…
…11001001111000
3100010111122022222
413303233021320
5232014044000
620555503212
73150335642
oct763571170
9303448288
10131003000
1167a47547
1237a57b08
13211aa18b
1413581892
15b77aa85
hex7cef278

131003000 has 64 divisors (see below), whose sum is σ = 308318400. Its totient is φ = 52099200.

The previous prime is 131002997. The next prime is 131003011. The reversal of 131003000 is 300131.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268757 + ... + 269243.

It is an arithmetic number, because the mean of its divisors is an integer number (4817475).

Almost surely, 2131003000 is an apocalyptic number.

131003000 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 131003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154159200).

131003000 is an abundant number, since it is smaller than the sum of its proper divisors (177315400).

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

131003000 is a wasteful number, since it uses less digits than its factorization.

131003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 131003000 is about 11445.6541971178. The cubic root of 131003000 is about 507.8791846944.

Adding to 131003000 its reverse (300131), we get a palindrome (131303131).

The spelling of 131003000 in words is "one hundred thirty-one million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 269 487 500 538 974 1000 1076 1345 1948 2152 2435 2690 3896 4870 5380 6725 9740 10760 12175 13450 19480 24350 26900 33625 48700 53800 60875 67250 97400 121750 131003 134500 243500 262006 269000 487000 524012 655015 1048024 1310030 2620060 3275075 5240120 6550150 13100300 16375375 26200600 32750750 65501500 131003000