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131315000 = 235426263
BaseRepresentation
bin1111101001110…
…11010100111000
3100011002111022112
413310323110320
5232104040000
621010311452
73153105365
oct764732470
9304074275
10131315000
116813a9a3
1237b88588
13212891ab
141362346c
15b7dd235
hex7d3b538

131315000 has 40 divisors (see below), whose sum is σ = 307682760. Its totient is φ = 52524000.

The previous prime is 131314979. The next prime is 131315003. The reversal of 131315000 is 513131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131315003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8132 + ... + 18131.

It is an arithmetic number, because the mean of its divisors is an integer number (7692069).

Almost surely, 2131315000 is an apocalyptic number.

131315000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131315000 is an abundant number, since it is smaller than the sum of its proper divisors (176367760).

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

131315000 is an equidigital number, since it uses as much as digits as its factorization.

131315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26289 (or 26270 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 131315000 is about 11459.2757188227. The cubic root of 131315000 is about 508.2820575949.

Adding to 131315000 its reverse (513131), we get a palindrome (131828131).

The spelling of 131315000 in words is "one hundred thirty-one million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 26263 52526 105052 131315 210104 262630 525260 656575 1050520 1313150 2626300 3282875 5252600 6565750 13131500 16414375 26263000 32828750 65657500 131315000