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131643406275 = 3523594889263
BaseRepresentation
bin111101010011010001…
…1101111011111000011
3110120210110021221012220
41322212203233133003
54124101203000100
6140250503022123
712340150330203
oct1724643573703
9416713257186
10131643406275
11509142a8637
122161b13a943
13c54c4c7694
14652b85c403
153657288aa0
hex1ea68ef7c3

131643406275 has 24 divisors (see below), whose sum is σ = 218256744960. Its totient is φ = 70014231840.

The previous prime is 131643406241. The next prime is 131643406291. The reversal of 131643406275 is 572604346131.

131643406275 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 131643406275 - 29 = 131643405763 is a prime.

131643406275 is strictly pandigital in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2417707 + ... + 2471556.

It is an arithmetic number, because the mean of its divisors is an integer number (9094031040).

Almost surely, 2131643406275 is an apocalyptic number.

131643406275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131643406275 is a deficient number, since it is larger than the sum of its proper divisors (86613338685).

131643406275 is a wasteful number, since it uses less digits than its factorization.

131643406275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889635 (or 4889630 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 131643406275 in words is "one hundred thirty-one billion, six hundred forty-three million, four hundred six thousand, two hundred seventy-five".

Divisors: 1 3 5 15 25 75 359 1077 1795 5385 8975 26925 4889263 14667789 24446315 73338945 122231575 366694725 1755245417 5265736251 8776227085 26328681255 43881135425 131643406275