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131500000 = 2556263
BaseRepresentation
bin1111101011010…
…00011111100000
3100011102220002101
413311220133200
5232131000000
621014300144
73154505632
oct765503740
9304386071
10131500000
1168256995
1238057654
1321322468
1413670a52
15b827e6a
hex7d687e0

131500000 has 84 divisors (see below), whose sum is σ = 324839592. Its totient is φ = 52400000.

The previous prime is 131499983. The next prime is 131500009. The reversal of 131500000 is 5131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 131500000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131500009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 499869 + ... + 500131.

It is an arithmetic number, because the mean of its divisors is an integer number (3867138).

Almost surely, 2131500000 is an apocalyptic number.

131500000 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 131500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162419796).

131500000 is an abundant number, since it is smaller than the sum of its proper divisors (193339592).

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

131500000 is an frugal number, since it uses more digits than its factorization.

131500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 131500000 is about 11467.3449411797. The cubic root of 131500000 is about 508.5206392671.

Adding to 131500000 its reverse (5131), we get a palindrome (131505131).

The spelling of 131500000 in words is "one hundred thirty-one million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 263 400 500 526 625 800 1000 1052 1250 1315 2000 2104 2500 2630 3125 4000 4208 5000 5260 6250 6575 8416 10000 10520 12500 13150 15625 20000 21040 25000 26300 31250 32875 42080 50000 52600 62500 65750 100000 105200 125000 131500 164375 210400 250000 263000 328750 500000 526000 657500 821875 1052000 1315000 1643750 2630000 3287500 4109375 5260000 6575000 8218750 13150000 16437500 26300000 32875000 65750000 131500000