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34401056213 is a prime number
BaseRepresentation
bin100000000010011101…
…100111010111010101
310021210110122201112002
4200002131213113111
51030423132244323
623445330005045
72325330103346
oct400235472725
9107713581462
1034401056213
1113653554777
126800a16785
133323107a84
141944b5a0cd
15d651c0828
hex8027675d5

34401056213 has 2 divisors, whose sum is σ = 34401056214. Its totient is φ = 34401056212.

The previous prime is 34401056203. The next prime is 34401056243. The reversal of 34401056213 is 31265010443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23851095844 + 10549960369 = 154438^2 + 102713^2 .

It is a cyclic number.

It is not a de Polignac number, because 34401056213 - 26 = 34401056149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34401056203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17200528106 + 17200528107.

It is an arithmetic number, because the mean of its divisors is an integer number (17200528107).

Almost surely, 234401056213 is an apocalyptic number.

It is an amenable number.

34401056213 is a deficient number, since it is larger than the sum of its proper divisors (1).

34401056213 is an equidigital number, since it uses as much as digits as its factorization.

34401056213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 34401056213 its reverse (31265010443), we get a palindrome (65666066656).

The spelling of 34401056213 in words is "thirty-four billion, four hundred one million, fifty-six thousand, two hundred thirteen".