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131325320 = 23574631013
BaseRepresentation
bin1111101001111…
…01110110001000
3100011010000110202
413310331312020
5232104402240
621010431332
73153150440
oct764756610
9304100422
10131325320
1168147725
1237b92548
1321290ab9
1413627120
15b7e1315
hex7d3dd88

131325320 has 64 divisors (see below), whose sum is σ = 338757120. Its totient is φ = 44884224.

The previous prime is 131325307. The next prime is 131325329. The reversal of 131325320 is 23523131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131325292 and 131325301.

It is not an unprimeable number, because it can be changed into a prime (131325329) 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, 129134 + ... + 130146.

It is an arithmetic number, because the mean of its divisors is an integer number (5293080).

Almost surely, 2131325320 is an apocalyptic number.

131325320 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 131325320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169378560).

131325320 is an abundant number, since it is smaller than the sum of its proper divisors (207431800).

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

131325320 is a wasteful number, since it uses less digits than its factorization.

131325320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 131325320 is about 11459.7260002148. The cubic root of 131325320 is about 508.2953724825.

Adding to 131325320 its reverse (23523131), we get a palindrome (154848451).

The spelling of 131325320 in words is "one hundred thirty-one million, three hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 463 926 1013 1852 2026 2315 3241 3704 4052 4630 5065 6482 7091 8104 9260 10130 12964 14182 16205 18520 20260 25928 28364 32410 35455 40520 56728 64820 70910 129640 141820 283640 469019 938038 1876076 2345095 3283133 3752152 4690190 6566266 9380380 13132532 16415665 18760760 26265064 32831330 65662660 131325320