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131202220 = 22519379911
BaseRepresentation
bin1111101000111…
…11110010101100
3100010212202121111
413310133302230
5232041432340
621004041404
73152125522
oct764376254
9303782544
10131202220
1168073196
1237b33264
1321249a66
14135d4312
15b7b9aea
hex7d1fcac

131202220 has 48 divisors (see below), whose sum is σ = 291110400. Its totient is φ = 49533120.

The previous prime is 131202187. The next prime is 131202263. The reversal of 131202220 is 22202131.

It is a self number, because there is not a number n which added to its sum of digits gives 131202220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143565 + ... + 144475.

It is an arithmetic number, because the mean of its divisors is an integer number (6064800).

Almost surely, 2131202220 is an apocalyptic number.

131202220 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 131202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145555200).

131202220 is an abundant number, since it is smaller than the sum of its proper divisors (159908180).

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

131202220 is a wasteful number, since it uses less digits than its factorization.

131202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 131202220 is about 11454.3537574147. The cubic root of 131202220 is about 508.1365030905.

Adding to 131202220 its reverse (22202131), we get a palindrome (153404351).

The spelling of 131202220 in words is "one hundred thirty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 379 380 758 911 1516 1822 1895 3644 3790 4555 7201 7580 9110 14402 17309 18220 28804 34618 36005 69236 72010 86545 144020 173090 345269 346180 690538 1381076 1726345 3452690 6560111 6905380 13120222 26240444 32800555 65601110 131202220