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131821629 = 3673671787
BaseRepresentation
bin1111101101101…
…11000000111101
3100012001020021120
413312313000331
5232221243004
621025221153
73160315422
oct766670075
9305036246
10131821629
11684565a5
12381917b9
1321405984
1413715d49
15b88d3d9
hex7db703d

131821629 has 16 divisors (see below), whose sum is σ = 178971648. Its totient is φ = 86285232.

The previous prime is 131821609. The next prime is 131821633. The reversal of 131821629 is 926128131.

It is not a de Polignac number, because 131821629 - 217 = 131690557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131821629.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131821609) by changing a digit.

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, 72874 + ... + 74660.

It is an arithmetic number, because the mean of its divisors is an integer number (11185728).

Almost surely, 2131821629 is an apocalyptic number.

It is an amenable number.

131821629 is a deficient number, since it is larger than the sum of its proper divisors (47150019).

131821629 is a wasteful number, since it uses less digits than its factorization.

131821629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224.

The product of its digits is 5184, while the sum is 33.

The square root of 131821629 is about 11481.3600675181. The cubic root of 131821629 is about 508.9348897665.

The spelling of 131821629 in words is "one hundred thirty-one million, eight hundred twenty-one thousand, six hundred twenty-nine".

Divisors: 1 3 67 201 367 1101 1787 5361 24589 73767 119729 359187 655829 1967487 43940543 131821629