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235826712001 is a prime number
BaseRepresentation
bin1101101110100001011…
…1100000110111000001
3211112201011120020002201
43123220113200313001
512330433114241001
6300200504513201
723016001656256
oct3335027406701
9745634506081
10235826712001
11910170381a1
1239855a7b801
13193138b924a
14b5b230b42d
1562038a6501
hex36e85e0dc1

235826712001 has 2 divisors, whose sum is σ = 235826712002. Its totient is φ = 235826712000.

The previous prime is 235826711951. The next prime is 235826712029. The reversal of 235826712001 is 100217628532.

235826712001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151320222001 + 84506490000 = 388999^2 + 290700^2 .

It is a cyclic number.

It is not a de Polignac number, because 235826712001 - 29 = 235826711489 is a prime.

It is a super-2 number, since 2×2358267120012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (235826712031) 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, 117913356000 + 117913356001.

It is an arithmetic number, because the mean of its divisors is an integer number (117913356001).

Almost surely, 2235826712001 is an apocalyptic number.

It is an amenable number.

235826712001 is a deficient number, since it is larger than the sum of its proper divisors (1).

235826712001 is an equidigital number, since it uses as much as digits as its factorization.

235826712001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 235826712001 in words is "two hundred thirty-five billion, eight hundred twenty-six million, seven hundred twelve thousand, one".