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13134523300 = 225219311731289
BaseRepresentation
bin11000011101110000…
…01110101110100100
31020220100220220201221
430032320032232210
5203344414221200
610011154230124
7643325414563
oct141670165644
936810826657
1013134523300
115630106838
122666885344
1313142122a2
148c8585bda
1551d17591a
hex30ee0eba4

13134523300 has 144 divisors (see below), whose sum is σ = 31173004800. Its totient is φ = 4785177600.

The previous prime is 13134523291. The next prime is 13134523343. The reversal of 13134523300 is 332543131.

13134523300 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 (25).

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 47 ways as a sum of consecutive naturals, for example, 10189056 + ... + 10190344.

It is an arithmetic number, because the mean of its divisors is an integer number (216479200).

Almost surely, 213134523300 is an apocalyptic number.

13134523300 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 13134523300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15586502400).

13134523300 is an abundant number, since it is smaller than the sum of its proper divisors (18038481500).

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

13134523300 is a wasteful number, since it uses less digits than its factorization.

13134523300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The spelling of 13134523300 in words is "thirteen billion, one hundred thirty-four million, five hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 173 190 310 346 380 475 589 620 692 775 865 950 1178 1289 1550 1730 1900 2356 2578 2945 3100 3287 3460 4325 5156 5363 5890 6445 6574 8650 10726 11780 12890 13148 14725 16435 17300 21452 24491 25780 26815 29450 32225 32870 39959 48982 53630 58900 64450 65740 79918 82175 97964 101897 107260 122455 128900 134075 159836 164350 199795 203794 222997 244910 268150 328700 399590 407588 445994 489820 509485 536300 612275 759221 799180 891988 998975 1018970 1114985 1224550 1518442 1997950 2037940 2229970 2449100 2547425 3036884 3796105 3995900 4236943 4459940 5094850 5574925 6912907 7592210 8473886 10189700 11149850 13825814 15184420 16947772 18980525 21184715 22299700 27651628 34564535 37961050 42369430 69129070 75922100 84738860 105923575 131345233 138258140 172822675 211847150 262690466 345645350 423694300 525380932 656726165 691290700 1313452330 2626904660 3283630825 6567261650 13134523300