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34400132201 is a prime number
BaseRepresentation
bin100000000010011010…
…000101110001101001
310021210101220210000102
4200002122011301221
51030422413212301
623445254115145
72325316204421
oct400232056151
9107711823012
1034400132201
1113652a83526
12680064bab5
133322b73316
141944999481
15d6508bb6b
hex802685c69

34400132201 has 2 divisors, whose sum is σ = 34400132202. Its totient is φ = 34400132200.

The previous prime is 34400132189. The next prime is 34400132209. The reversal of 34400132201 is 10223100443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34152888025 + 247244176 = 184805^2 + 15724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34400132201 is a prime.

It is not a weakly prime, because it can be changed into another prime (34400132209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17200066100 + 17200066101.

It is an arithmetic number, because the mean of its divisors is an integer number (17200066101).

Almost surely, 234400132201 is an apocalyptic number.

It is an amenable number.

34400132201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34400132201 is an equidigital number, since it uses as much as digits as its factorization.

34400132201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34400132201 its reverse (10223100443), we get a palindrome (44623232644).

The spelling of 34400132201 in words is "thirty-four billion, four hundred million, one hundred thirty-two thousand, two hundred one".