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131209553 = 1741188249
BaseRepresentation
bin1111101001000…
…01100101010001
3100010220010200002
413310201211101
5232042201203
621004135345
73152156066
oct764414521
9303803602
10131209553
1168078752
1237b37555
13212501b7
14135d6c6d
15b7bbd88
hex7d21951

131209553 has 8 divisors (see below), whose sum is σ = 142317000. Its totient is φ = 120478720.

The previous prime is 131209541. The next prime is 131209567. The reversal of 131209553 is 355902131.

It can be written as a sum of positive squares in 4 ways, for example, as 1067089 + 130142464 = 1033^2 + 11408^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131209553 - 26 = 131209489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131209583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93428 + ... + 94821.

It is an arithmetic number, because the mean of its divisors is an integer number (17789625).

Almost surely, 2131209553 is an apocalyptic number.

It is an amenable number.

131209553 is a deficient number, since it is larger than the sum of its proper divisors (11107447).

131209553 is a wasteful number, since it uses less digits than its factorization.

131209553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188307.

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 131209553 is about 11454.6738495690. The cubic root of 131209553 is about 508.1459696365.

The spelling of 131209553 in words is "one hundred thirty-one million, two hundred nine thousand, five hundred fifty-three".

Divisors: 1 17 41 697 188249 3200233 7718209 131209553