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34273173133 is a prime number
BaseRepresentation
bin11111111010110101…
…110001111010001101
310021110120000120220201
4133322311301322031
51030142413020013
623424521013501
72322215110363
oct377265617215
9107416016821
1034273173133
1113598349281
126786024291
133302780a04
141931b8b633
15d58d5e3dd
hex7fad71e8d

34273173133 has 2 divisors, whose sum is σ = 34273173134. Its totient is φ = 34273173132.

The previous prime is 34273173131. The next prime is 34273173157. The reversal of 34273173133 is 33137137243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24665644809 + 9607528324 = 157053^2 + 98018^2 .

It is a cyclic number.

It is not a de Polignac number, because 34273173133 - 21 = 34273173131 is a prime.

Together with 34273173131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 34273173092 and 34273173101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34273173131) by changing a digit.

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 as a sum of consecutive naturals, namely, 17136586566 + 17136586567.

It is an arithmetic number, because the mean of its divisors is an integer number (17136586567).

Almost surely, 234273173133 is an apocalyptic number.

It is an amenable number.

34273173133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34273173133 is an equidigital number, since it uses as much as digits as its factorization.

34273173133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 95256, while the sum is 37.

The spelling of 34273173133 in words is "thirty-four billion, two hundred seventy-three million, one hundred seventy-three thousand, one hundred thirty-three".