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131403220 = 225131513347
BaseRepresentation
bin1111101010100…
…00110111010100
3100011020222022221
413311100313110
5232114400340
621012232124
73153623524
oct765206724
9304228287
10131403220
11681a0203
123800b644
13212ba3b0
1413647684
15b80944a
hex7d50dd4

131403220 has 48 divisors (see below), whose sum is σ = 299230848. Its totient is φ = 48182400.

The previous prime is 131403143. The next prime is 131403253. The reversal of 131403220 is 22304131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131403194 and 131403203.

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, 37587 + ... + 40933.

It is an arithmetic number, because the mean of its divisors is an integer number (6233976).

Almost surely, 2131403220 is an apocalyptic number.

131403220 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 131403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

131403220 is an abundant number, since it is smaller than the sum of its proper divisors (167827628).

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

131403220 is a wasteful number, since it uses less digits than its factorization.

131403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 131403220 is about 11463.1243559511. The cubic root of 131403220 is about 508.3958567426.

Adding to 131403220 its reverse (22304131), we get a palindrome (153707351).

The spelling of 131403220 in words is "one hundred thirty-one million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 260 302 604 755 1510 1963 3020 3347 3926 6694 7852 9815 13388 16735 19630 33470 39260 43511 66940 87022 174044 217555 435110 505397 870220 1010794 2021588 2526985 5053970 6570161 10107940 13140322 26280644 32850805 65701610 131403220