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13134404120 = 2354179101377
BaseRepresentation
bin11000011101101111…
…10001101000011000
31020220100200212020212
430032313301220120
5203344401412440
610011151510252
7643324410245
oct141667615030
936810625225
1013134404120
115630035242
122666828388
13131419cc76
148c85545cc
1551d150465
hex30edf1a18

13134404120 has 64 divisors (see below), whose sum is σ = 30656707200. Its totient is φ = 5060689920.

The previous prime is 13134404099. The next prime is 13134404149. The reversal of 13134404120 is 2140443131.

13134404120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78872 + ... + 180248.

It is an arithmetic number, because the mean of its divisors is an integer number (479011050).

Almost surely, 213134404120 is an apocalyptic number.

13134404120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15328353600).

13134404120 is an abundant number, since it is smaller than the sum of its proper divisors (17522303080).

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

13134404120 is a wasteful number, since it uses less digits than its factorization.

13134404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101508 (or 101504 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13134404120 its reverse (2140443131), we get a palindrome (15274847251).

The spelling of 13134404120 in words is "thirteen billion, one hundred thirty-four million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 79 82 158 164 205 316 328 395 410 632 790 820 1580 1640 3160 3239 6478 12956 16195 25912 32390 64780 101377 129560 202754 405508 506885 811016 1013770 2027540 4055080 4156457 8008783 8312914 16017566 16625828 20782285 32035132 33251656 40043915 41564570 64070264 80087830 83129140 160175660 166258280 320351320 328360103 656720206 1313440412 1641800515 2626880824 3283601030 6567202060 13134404120