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13103010300 = 22352234094643
BaseRepresentation
bin11000011010000000…
…00001000111111100
31020211011121220000210
430031000001013330
5203313332312200
610004110552420
7642463515132
oct141500010774
936734556023
1013103010300
115614342636
122658208710
13130a82a743
148c4301752
1551a4ed650
hex30d0011fc

13103010300 has 144 divisors (see below), whose sum is σ = 39664961280. Its totient is φ = 3333327360.

The previous prime is 13103010251. The next prime is 13103010313. The reversal of 13103010300 is 301030131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2819779 + ... + 2824421.

It is an arithmetic number, because the mean of its divisors is an integer number (275451120).

Almost surely, 213103010300 is an apocalyptic number.

13103010300 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 13103010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19832480640).

13103010300 is an abundant number, since it is smaller than the sum of its proper divisors (26561950980).

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

13103010300 is a wasteful number, since it uses less digits than its factorization.

13103010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13103010300 its reverse (301030131), we get a palindrome (13404040431).

The spelling of 13103010300 in words is "thirteen billion, one hundred three million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 409 460 575 690 818 1150 1227 1380 1636 1725 2045 2300 2454 3450 4090 4643 4908 6135 6900 8180 9286 9407 10225 12270 13929 18572 18814 20450 23215 24540 27858 28221 30675 37628 40900 46430 47035 55716 56442 61350 69645 92860 94070 106789 112884 116075 122700 139290 141105 188140 213578 232150 235175 278580 282210 320367 348225 427156 464300 470350 533945 564420 640734 696450 705525 940700 1067890 1281468 1392900 1411050 1601835 1898987 2135780 2669725 2822100 3203670 3797974 5339450 5696961 6407340 7595948 8009175 9494935 10678900 11393922 16018350 18989870 22787844 28484805 32036700 37979740 43676701 47474675 56969610 87353402 94949350 113939220 131030103 142424025 174706804 189898700 218383505 262060206 284848050 436767010 524120412 569696100 655150515 873534020 1091917525 1310301030 2183835050 2620602060 3275752575 4367670100 6551505150 13103010300