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131629125 = 353351011
BaseRepresentation
bin1111101100010…
…00000001000101
3100011200110012210
413312020001011
5232144113000
621021134033
73155554245
oct766100105
9304613183
10131629125
1168334a01
12380ba319
1321369174
14136a5b25
15b851350
hex7d88045

131629125 has 16 divisors (see below), whose sum is σ = 219031488. Its totient is φ = 70202000.

The previous prime is 131629123. The next prime is 131629129. The reversal of 131629125 is 521926131.

It is not a de Polignac number, because 131629125 - 21 = 131629123 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131629092 and 131629101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131629123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175131 + ... + 175880.

It is an arithmetic number, because the mean of its divisors is an integer number (13689468).

Almost surely, 2131629125 is an apocalyptic number.

131629125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131629125 is a deficient number, since it is larger than the sum of its proper divisors (87402363).

131629125 is an equidigital number, since it uses as much as digits as its factorization.

131629125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351029 (or 351019 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 131629125 is about 11472.9736772992. The cubic root of 131629125 is about 508.6870302607.

The spelling of 131629125 in words is "one hundred thirty-one million, six hundred twenty-nine thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 351011 1053033 1755055 5265165 8775275 26325825 43876375 131629125