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34103322241 = 291577490297
BaseRepresentation
bin11111110000101101…
…110110011010000001
310021000201102021021221
4133300231312122001
51024320422302431
623400012315041
72315053312312
oct376055663201
9107021367257
1034103322241
111351048883a
126739172a81
1332a6521521
1419173b6609
15d48ead111
hex7f0b76681

34103322241 has 8 divisors (see below), whose sum is σ = 35504012520. Its totient is φ = 32717612928.

The previous prime is 34103322229. The next prime is 34103322257. The reversal of 34103322241 is 14222330143.

It can be written as a sum of positive squares in 4 ways, for example, as 4002460225 + 30100862016 = 63265^2 + 173496^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34103322241 - 223 = 34094933633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34103322041) 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 in 7 ways as a sum of consecutive naturals, for example, 3740596 + ... + 3749701.

It is an arithmetic number, because the mean of its divisors is an integer number (4438001565).

Almost surely, 234103322241 is an apocalyptic number.

It is an amenable number.

34103322241 is a deficient number, since it is larger than the sum of its proper divisors (1400690279).

34103322241 is a wasteful number, since it uses less digits than its factorization.

34103322241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490483.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34103322241 its reverse (14222330143), we get a palindrome (48325652384).

The spelling of 34103322241 in words is "thirty-four billion, one hundred three million, three hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 29 157 4553 7490297 217218613 1175976629 34103322241