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134456306201 = 7261127935171
BaseRepresentation
bin111110100111000111…
…0000110101000011001
3110212001111021001111122
41331032032012220121
54200331303244301
6141433545135025
712466644513500
oct1751616065031
9425044231448
10134456306201
1152028096a18
122208518a475
13c8aa1c03c9
14671727d837
15376e1c081b
hex1f4e386a19

134456306201 has 24 divisors (see below), whose sum is σ = 159101245440. Its totient is φ = 113267095200.

The previous prime is 134456306197. The next prime is 134456306209. The reversal of 134456306201 is 102603654431.

It is not a de Polignac number, because 134456306201 - 22 = 134456306197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134456306209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3805346 + ... + 3840516.

It is an arithmetic number, because the mean of its divisors is an integer number (6629218560).

Almost surely, 2134456306201 is an apocalyptic number.

It is an amenable number.

134456306201 is a deficient number, since it is larger than the sum of its proper divisors (24644939239).

134456306201 is a wasteful number, since it uses less digits than its factorization.

134456306201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36525 (or 36518 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 134456306201 in words is "one hundred thirty-four billion, four hundred fifty-six million, three hundred six thousand, two hundred one".

Divisors: 1 7 49 61 427 1279 2989 8953 35171 62671 78019 246197 546133 1723379 2145431 3822931 15018017 44983709 105126119 314885963 2204201741 2744006249 19208043743 134456306201