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131003226 = 2327339929
BaseRepresentation
bin1111100111011…
…11001101011010
3100010111122122100
413303233031122
5232014100401
620555504230
73150336414
oct763571532
9303448570
10131003226
1167a47732
1237a58076
13211aa303
14135819b4
15b77ab86
hex7cef35a

131003226 has 24 divisors (see below), whose sum is σ = 284256180. Its totient is φ = 43603776.

The previous prime is 131003209. The next prime is 131003261. The reversal of 131003226 is 622300131.

It can be written as a sum of positive squares in 2 ways, for example, as 127577025 + 3426201 = 11295^2 + 1851^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131003199 and 131003208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8230 + ... + 18158.

Almost surely, 2131003226 is an apocalyptic number.

131003226 is an abundant number, since it is smaller than the sum of its proper divisors (153252954).

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

131003226 is a wasteful number, since it uses less digits than its factorization.

131003226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10670 (or 10667 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131003226 is about 11445.6640698563. The cubic root of 131003226 is about 507.8794767504.

Adding to 131003226 its reverse (622300131), we get a palindrome (753303357).

The spelling of 131003226 in words is "one hundred thirty-one million, three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 733 1466 2199 4398 6597 9929 13194 19858 29787 59574 89361 178722 7277957 14555914 21833871 43667742 65501613 131003226