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234437331001 is a prime number
BaseRepresentation
bin1101101001010110001…
…1011100100000111001
3211102010100012100200011
43122111203130200321
512320111424043001
6255410553341521
722636401301636
oct3322543344071
9742110170604
10234437331001
1190473841735
12395287078a1
1319151ab8003
14b4bd9a118d
15617190cd51
hex36958dc839

234437331001 has 2 divisors, whose sum is σ = 234437331002. Its totient is φ = 234437331000.

The previous prime is 234437330999. The next prime is 234437331017. The reversal of 234437331001 is 100133734432.

234437331001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189333765625 + 45103565376 = 435125^2 + 212376^2 .

It is a cyclic number.

It is not a de Polignac number, because 234437331001 - 21 = 234437330999 is a prime.

Together with 234437330999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (234437331061) 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, 117218665500 + 117218665501.

It is an arithmetic number, because the mean of its divisors is an integer number (117218665501).

Almost surely, 2234437331001 is an apocalyptic number.

It is an amenable number.

234437331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

234437331001 is an equidigital number, since it uses as much as digits as its factorization.

234437331001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 31.

The spelling of 234437331001 in words is "two hundred thirty-four billion, four hundred thirty-seven million, three hundred thirty-one thousand, one".