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131001663 = 3133978461
BaseRepresentation
bin1111100111011…
…10110100111111
3100010111120111110
413303232310333
5232014023123
620555453103
73150332022
oct763566477
9303446443
10131001663
1167a46541
1237a57193
13211a96a0
14135811b9
15b77a493
hex7ceed3f

131001663 has 16 divisors (see below), whose sum is σ = 188601056. Its totient is φ = 80403840.

The previous prime is 131001649. The next prime is 131001667. The reversal of 131001663 is 366100131.

It is not a de Polignac number, because 131001663 - 25 = 131001631 is a prime.

It is a super-2 number, since 2×1310016632 = 34322871417531138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11253 + ... + 19713.

It is an arithmetic number, because the mean of its divisors is an integer number (11787566).

Almost surely, 2131001663 is an apocalyptic number.

131001663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131001663 is a deficient number, since it is larger than the sum of its proper divisors (57599393).

131001663 is a wasteful number, since it uses less digits than its factorization.

131001663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 131001663 is about 11445.5957905213. The cubic root of 131001663 is about 507.8774569050.

Adding to 131001663 its reverse (366100131), we get a palindrome (497101794).

The spelling of 131001663 in words is "one hundred thirty-one million, one thousand, six hundred sixty-three".

Divisors: 1 3 13 39 397 1191 5161 8461 15483 25383 109993 329979 3359017 10077051 43667221 131001663