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131017726005 = 3522339168229
BaseRepresentation
bin111101000000101000…
…0111101100000110101
3110112011211222002020120
41322001100331200311
54121311014213010
6140104432322153
712315512203365
oct1720120754065
9415154862216
10131017726005
11506230aa801
12214856a3359
13c47c9aa07a
1464ac70c9a5
15361c396e70
hex1e8143d835

131017726005 has 16 divisors (see below), whose sum is σ = 210568404480. Its totient is φ = 69562772928.

The previous prime is 131017725983. The next prime is 131017726031. The reversal of 131017726005 is 500627710131.

It is not a de Polignac number, because 131017726005 - 28 = 131017725749 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 19580770 + ... + 19587459.

It is an arithmetic number, because the mean of its divisors is an integer number (13160525280).

Almost surely, 2131017726005 is an apocalyptic number.

131017726005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131017726005 is a deficient number, since it is larger than the sum of its proper divisors (79550678475).

131017726005 is a wasteful number, since it uses less digits than its factorization.

131017726005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39168460.

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 131017726005 in words is "one hundred thirty-one billion, seventeen million, seven hundred twenty-six thousand, five".

Divisors: 1 3 5 15 223 669 1115 3345 39168229 117504687 195841145 587523435 8734515067 26203545201 43672575335 131017726005