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34430334303101 = 1121979143783839
BaseRepresentation
bin1111101010000011011111…
…10110000111101101111101
311111220111201012022002102112
413311001233312013231331
514003101311040144401
6201121024402503405
710152336531541652
oct765015766075575
9144814635262375
1034430334303101
11aa74906131a00
123a409b5364b65
1316299c7289699
14870619479c29
153ea92a7de3bb
hex1f506fd87b7d

34430334303101 has 12 divisors (see below), whose sum is σ = 37864036425600. Its totient is φ = 31284487472040.

The previous prime is 34430334303067. The next prime is 34430334303149. The reversal of 34430334303101 is 10130343303443.

It is a de Polignac number, because none of the positive numbers 2k-34430334303101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34430334303161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71652461 + ... + 72131378.

It is an arithmetic number, because the mean of its divisors is an integer number (3155336368800).

Almost surely, 234430334303101 is an apocalyptic number.

It is an amenable number.

34430334303101 is a deficient number, since it is larger than the sum of its proper divisors (3433702122499).

34430334303101 is a wasteful number, since it uses less digits than its factorization.

34430334303101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143785840 (or 143785829 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 34430334303101 its reverse (10130343303443), we get a palindrome (44560677606544).

The spelling of 34430334303101 in words is "thirty-four trillion, four hundred thirty billion, three hundred thirty-four million, three hundred three thousand, one hundred one".

Divisors: 1 11 121 1979 21769 239459 143783839 1581622229 17397844519 284548217381 3130030391191 34430334303101