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34121310102 = 236112127529
BaseRepresentation
bin11111110001110010…
…011101111110010110
310021001222021011000000
4133301302131332112
51024340023410402
623401454032130
72315362231125
oct376162357626
9107058234000
1034121310102
111351a654340
1267431a8646
1332aa17bb29
141919939abc
15d4a862c1c
hex7f1c9df96

34121310102 has 56 divisors (see below), whose sum is σ = 83714050440. Its totient is φ = 10339786080.

The previous prime is 34121310073. The next prime is 34121310107. The reversal of 34121310102 is 20101312143.

34121310102 is a `hidden beast` number, since 341 + 2 + 1 + 310 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121310107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1047727 + ... + 1079802.

Almost surely, 234121310102 is an apocalyptic number.

34121310102 is an abundant number, since it is smaller than the sum of its proper divisors (49592740338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34121310102 is a wasteful number, since it uses less digits than its factorization.

34121310102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127560 (or 2127545 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 34121310102 its reverse (20101312143), we get a palindrome (54222622245).

The spelling of 34121310102 in words is "thirty-four billion, one hundred twenty-one million, three hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 5346 8019 16038 2127529 4255058 6382587 12765174 19147761 23402819 38295522 46805638 57443283 70208457 114886566 140416914 172329849 210625371 344659698 421250742 516989547 631876113 1033979094 1263752226 1550968641 1895628339 3101937282 3791256678 5686885017 11373770034 17060655051 34121310102