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13134040220 = 2257373477307
BaseRepresentation
bin11000011101101100…
…11000110010011100
31020220100000101002002
430032312120302130
5203344303241340
610011140021432
7643321333310
oct141666306234
936810011062
1013134040220
11562a9068a4
122666691878
1313140a3442
148c849bb40
1551d0cc715
hex30ed98c9c

13134040220 has 96 divisors (see below), whose sum is σ = 32471373312. Its totient is φ = 4368169728.

The previous prime is 13134040211. The next prime is 13134040237. The reversal of 13134040220 is 2204043131.

13134040220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13134040192 and 13134040201.

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 31 ways as a sum of consecutive naturals, for example, 1793807 + ... + 1801113.

It is an arithmetic number, because the mean of its divisors is an integer number (338243472).

Almost surely, 213134040220 is an apocalyptic number.

13134040220 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 13134040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16235686656).

13134040220 is an abundant number, since it is smaller than the sum of its proper divisors (19337333092).

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

13134040220 is a wasteful number, since it uses less digits than its factorization.

13134040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7707 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13134040220 its reverse (2204043131), we get a palindrome (15338083351).

The spelling of 13134040220 in words is "thirteen billion, one hundred thirty-four million, forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 347 370 518 694 740 1036 1295 1388 1735 2429 2590 3470 4858 5180 6940 7307 9716 12145 12839 14614 24290 25678 29228 36535 48580 51149 51356 64195 73070 89873 102298 128390 146140 179746 204596 255745 256780 270359 359492 449365 511490 540718 898730 1022980 1081436 1351795 1797460 1892513 2535529 2703590 3785026 5071058 5407180 7570052 9462565 10142116 12677645 17748703 18925130 25355290 35497406 37850260 50710580 70994812 88743515 93814573 177487030 187629146 354974060 375258292 469072865 656702011 938145730 1313404022 1876291460 2626808044 3283510055 6567020110 13134040220