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131007220 = 2256550361
BaseRepresentation
bin1111100111100…
…00001011110100
3100010111212010021
413303300023310
5232014212340
620555534524
73150354151
oct763601364
9303455107
10131007220
1167a4a733
1237a5a444
13211ac086
1413583228
15b77be4a
hex7cf02f4

131007220 has 12 divisors (see below), whose sum is σ = 275115204. Its totient is φ = 52402880.

The previous prime is 131007211. The next prime is 131007229. The reversal of 131007220 is 22700131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131007211) and next prime (131007229).

It can be written as a sum of positive squares in 2 ways, for example, as 87684496 + 43322724 = 9364^2 + 6582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131007194 and 131007203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131007229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3275161 + ... + 3275200.

It is an arithmetic number, because the mean of its divisors is an integer number (22926267).

Almost surely, 2131007220 is an apocalyptic number.

131007220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131007220 is an abundant number, since it is smaller than the sum of its proper divisors (144107984).

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

131007220 is a wasteful number, since it uses less digits than its factorization.

131007220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6550370 (or 6550368 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 131007220 is about 11445.8385450783. The cubic root of 131007220 is about 507.8846380737.

Adding to 131007220 its reverse (22700131), we get a palindrome (153707351).

The spelling of 131007220 in words is "one hundred thirty-one million, seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6550361 13100722 26201444 32751805 65503610 131007220