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131667407199 = 3314479336803
BaseRepresentation
bin111101010011111111…
…1010011000101011111
3110120212010110022022000
41322213333103011133
54124123324012244
6140253121253343
712340561331556
oct1724777230537
9416763408260
10131667407199
1150926900909
1221627194253
13c55447bc03
146530b08d9d
15365942a169
hex1ea7fd315f

131667407199 has 16 divisors (see below), whose sum is σ = 195076876800. Its totient is φ = 87771948408.

The previous prime is 131667407191. The next prime is 131667407231. The reversal of 131667407199 is 991704766131.

It is not a de Polignac number, because 131667407199 - 23 = 131667407191 is a prime.

It is a super-2 number, since 2×1316674071992 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131667407191) 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, 222532 + ... + 559334.

It is an arithmetic number, because the mean of its divisors is an integer number (12192304800).

Almost surely, 2131667407199 is an apocalyptic number.

131667407199 is a deficient number, since it is larger than the sum of its proper divisors (63409469601).

131667407199 is a wasteful number, since it uses less digits than its factorization.

131667407199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351291 (or 351285 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 131667407199 in words is "one hundred thirty-one billion, six hundred sixty-seven million, four hundred seven thousand, one hundred ninety-nine".

Divisors: 1 3 9 27 14479 43437 130311 336803 390933 1010409 3031227 9093681 4876570637 14629711911 43889135733 131667407199