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131305320 = 23335121579
BaseRepresentation
bin1111101001110…
…00111101101000
3100011002000001000
413310320331220
5232103232240
621010155000
73153035226
oct764707550
9304060030
10131305320
11681336a3
1237b82a60
1321284973
141361db16
15b7da430
hex7d38f68

131305320 has 64 divisors (see below), whose sum is σ = 437688000. Its totient is φ = 35014464.

The previous prime is 131305309. The next prime is 131305337. The reversal of 131305320 is 23503131.

131305320 is a `hidden beast` number, since 1 + 3 + 130 + 532 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131305293 and 131305302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59710 + ... + 61869.

It is an arithmetic number, because the mean of its divisors is an integer number (6838875).

Almost surely, 2131305320 is an apocalyptic number.

131305320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131305320 is an abundant number, since it is smaller than the sum of its proper divisors (306382680).

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

131305320 is a wasteful number, since it uses less digits than its factorization.

131305320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121599 (or 121589 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 131305320 is about 11458.8533457759. The cubic root of 131305320 is about 508.2695678026.

Adding to 131305320 its reverse (23503131), we get a palindrome (154808451).

The spelling of 131305320 in words is "one hundred thirty-one million, three hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 121579 243158 364737 486316 607895 729474 972632 1094211 1215790 1458948 1823685 2188422 2431580 2917896 3282633 3647370 4376844 4863160 5471055 6565266 7294740 8753688 10942110 13130532 14589480 16413165 21884220 26261064 32826330 43768440 65652660 131305320