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134374352401 is a prime number
BaseRepresentation
bin111110100100101010…
…1011110011000010001
3110211211210001101000201
41331021111132120101
54200144313234101
6141421500415201
712464631102232
oct1751125363021
9424753041021
10134374352401
1151a95900903
1222061847501
13c896227933
14670a429089
153766dd2e01
hex1f4955e611

134374352401 has 2 divisors, whose sum is σ = 134374352402. Its totient is φ = 134374352400.

The previous prime is 134374352347. The next prime is 134374352429. The reversal of 134374352401 is 104253473431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130015051776 + 4359300625 = 360576^2 + 66025^2 .

It is a cyclic number.

It is not a de Polignac number, because 134374352401 - 233 = 125784417809 is a prime.

It is not a weakly prime, because it can be changed into another prime (134374352201) 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 as a sum of consecutive naturals, namely, 67187176200 + 67187176201.

It is an arithmetic number, because the mean of its divisors is an integer number (67187176201).

Almost surely, 2134374352401 is an apocalyptic number.

It is an amenable number.

134374352401 is a deficient number, since it is larger than the sum of its proper divisors (1).

134374352401 is an equidigital number, since it uses as much as digits as its factorization.

134374352401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 134374352401 in words is "one hundred thirty-four billion, three hundred seventy-four million, three hundred fifty-two thousand, four hundred one".