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34105100103 = 3217228146663
BaseRepresentation
bin11111110000110100…
…101000011101000111
310021000211202121001200
4133300310220131013
51024321401200403
623400114353543
72315104365504
oct376064503507
9107024677050
1034105100103
1113511492548
12673988b8b3
1332a69c4809
14191771a4ab
15d4920eca3
hex7f0d28747

34105100103 has 36 divisors (see below), whose sum is σ = 52518558768. Its totient is φ = 21322667520.

The previous prime is 34105100093. The next prime is 34105100153. The reversal of 34105100103 is 30100150143.

It is not a de Polignac number, because 34105100103 - 225 = 34071545671 is a prime.

It is a super-2 number, since 2×341051001032 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105100153) 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 35 ways as a sum of consecutive naturals, for example, 707550 + ... + 754212.

Almost surely, 234105100103 is an apocalyptic number.

34105100103 is a deficient number, since it is larger than the sum of its proper divisors (18413458665).

34105100103 is a wasteful number, since it uses less digits than its factorization.

34105100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46984 (or 46964 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 34105100103 its reverse (30100150143), we get a palindrome (64205250246).

The spelling of 34105100103 in words is "thirty-four billion, one hundred five million, one hundred thousand, one hundred three".

Divisors: 1 3 9 17 51 153 281 289 843 867 2529 2601 4777 14331 42993 46663 81209 139989 243627 419967 730881 793271 2379813 7139439 13112303 13485607 39336909 40456821 118010727 121370463 222909151 668727453 2006182359 3789455567 11368366701 34105100103