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131405505 = 35721116253
BaseRepresentation
bin1111101010100…
…01011011000001
3100011021002110120
413311101123001
5232114434010
621012250453
73153633300
oct765213301
9304232416
10131405505
11681a19a0
1238010a29
13212bb44a
1413648437
15b809e70
hex7d516c1

131405505 has 48 divisors (see below), whose sum is σ = 266825664. Its totient is φ = 54606720.

The previous prime is 131405489. The next prime is 131405513. The reversal of 131405505 is 505504131.

It is not a de Polignac number, because 131405505 - 24 = 131405489 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42 + ... + 16211.

It is an arithmetic number, because the mean of its divisors is an integer number (5558868).

Almost surely, 2131405505 is an apocalyptic number.

131405505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131405505 is an abundant number, since it is smaller than the sum of its proper divisors (135420159).

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

131405505 is a wasteful number, since it uses less digits than its factorization.

131405505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16286 (or 16279 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 131405505 is about 11463.2240229353. The cubic root of 131405505 is about 508.3988035953.

Adding to 131405505 its reverse (505504131), we get a palindrome (636909636).

The spelling of 131405505 in words is "one hundred thirty-one million, four hundred five thousand, five hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 16253 48759 81265 113771 178783 243795 341313 536349 568855 796397 893915 1251481 1706565 2389191 2681745 3754443 3981985 6257405 8760367 11945955 18772215 26281101 43801835 131405505