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131316020 = 225113131907
BaseRepresentation
bin1111101001110…
…11100100110100
3100011002112201022
413310323210310
5232104103040
621010320312
73153111353
oct764734464
9304075638
10131316020
1168140740
1237b89098
13212897b4
141362399a
15b7dd6b5
hex7d3b934

131316020 has 48 divisors (see below), whose sum is σ = 301952448. Its totient is φ = 47573760.

The previous prime is 131316019. The next prime is 131316037. The reversal of 131316020 is 20613131.

131316020 = T309 + T310 + ... + T934.

It is a self number, because there is not a number n which added to its sum of digits gives 131316020.

It is a congruent number.

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, 67907 + ... + 69813.

It is an arithmetic number, because the mean of its divisors is an integer number (6290676).

Almost surely, 2131316020 is an apocalyptic number.

131316020 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 131316020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150976224).

131316020 is an abundant number, since it is smaller than the sum of its proper divisors (170636428).

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

131316020 is a wasteful number, since it uses less digits than its factorization.

131316020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 131316020 is about 11459.3202241669. The cubic root of 131316020 is about 508.2833736323.

Adding to 131316020 its reverse (20613131), we get a palindrome (151929151).

The spelling of 131316020 in words is "one hundred thirty-one million, three hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 626 1252 1565 1907 3130 3443 3814 6260 6886 7628 9535 13772 17215 19070 20977 34430 38140 41954 68860 83908 104885 209770 419540 596891 1193782 2387564 2984455 5968910 6565801 11937820 13131602 26263204 32829005 65658010 131316020