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13134121230 = 2353173319267
BaseRepresentation
bin11000011101101101…
…01100100100001110
31020220100011111012110
430032312230210032
5203344313334410
610011141444450
7643322121426
oct141666544416
936810144173
1013134121230
11562a96174a
122666710726
131314101289
148c84bd486
1551d0e6720
hex30edac90e

13134121230 has 64 divisors (see below), whose sum is σ = 32584808448. Its totient is φ = 3384650880.

The previous prime is 13134121229. The next prime is 13134121249. The reversal of 13134121230 is 3212143131.

13134121230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13134121197 and 13134121206.

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, 672057 + ... + 691323.

It is an arithmetic number, because the mean of its divisors is an integer number (509137632).

Almost surely, 213134121230 is an apocalyptic number.

13134121230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134121230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292404224).

13134121230 is an abundant number, since it is smaller than the sum of its proper divisors (19450687218).

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

13134121230 is a wasteful number, since it uses less digits than its factorization.

13134121230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20041.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13134121230 its reverse (3212143131), we get a palindrome (16346264361).

The spelling of 13134121230 in words is "thirteen billion, one hundred thirty-four million, one hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 733 930 1466 2199 3665 4398 7330 10995 19267 21990 22723 38534 45446 57801 68169 96335 113615 115602 136338 192670 227230 289005 340845 578010 597277 681690 1194554 1791831 2986385 3583662 5972770 8959155 14122711 17918310 28245422 42368133 70613555 84736266 141227110 211840665 423681330 437804041 875608082 1313412123 2189020205 2626824246 4378040410 6567060615 13134121230