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34504445101 = 726111543809
BaseRepresentation
bin100000001000101000…
…000000110010101101
310022001200012102102011
4200020220000302231
51031131114220401
623503502001221
72331023641600
oct401050006255
9108050172364
1034504445101
11136a6950335
12682b576211
13333b666c29
141954790337
15d6e2e4451
hex808a00cad

34504445101 has 12 divisors (see below), whose sum is σ = 40795824540. Its totient is φ = 29090396160.

The previous prime is 34504445099. The next prime is 34504445119. The reversal of 34504445101 is 10154440543.

It can be written as a sum of positive squares in 2 ways, for example, as 4080015625 + 30424429476 = 63875^2 + 174426^2 .

It is not a de Polignac number, because 34504445101 - 21 = 34504445099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34504445401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5768916 + ... + 5774893.

It is an arithmetic number, because the mean of its divisors is an integer number (3399652045).

Almost surely, 234504445101 is an apocalyptic number.

It is an amenable number.

34504445101 is a deficient number, since it is larger than the sum of its proper divisors (6291379439).

34504445101 is a wasteful number, since it uses less digits than its factorization.

34504445101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11543884 (or 11543877 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 34504445101 its reverse (10154440543), we get a palindrome (44658885644).

The spelling of 34504445101 in words is "thirty-four billion, five hundred four million, four hundred forty-five thousand, one hundred one".

Divisors: 1 7 49 61 427 2989 11543809 80806663 565646641 704172349 4929206443 34504445101