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131003752 = 23111639133
BaseRepresentation
bin1111100111011…
…11010101101000
3100010111200100211
413303233111220
5232014110002
620555510504
73150341065
oct763572550
9303450324
10131003752
1167a48070
1237a58434
13211aa619
1413581c6c
15b77add7
hex7cef568

131003752 has 32 divisors (see below), whose sum is σ = 269635680. Its totient is φ = 59175360.

The previous prime is 131003749. The next prime is 131003773. The reversal of 131003752 is 257300131.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 7 ways as a sum of consecutive naturals, for example, 9778 + ... + 18910.

It is an arithmetic number, because the mean of its divisors is an integer number (8426115).

Almost surely, 2131003752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131003752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134817840).

131003752 is an abundant number, since it is smaller than the sum of its proper divisors (138631928).

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

131003752 is a wasteful number, since it uses less digits than its factorization.

131003752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 131003752 is about 11445.6870479670. The cubic root of 131003752 is about 507.8801564900.

Adding to 131003752 its reverse (257300131), we get a palindrome (388303883).

The spelling of 131003752 in words is "one hundred thirty-one million, three thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 163 326 652 1304 1793 3586 7172 9133 14344 18266 36532 73064 100463 200926 401852 803704 1488679 2977358 5954716 11909432 16375469 32750938 65501876 131003752