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13031100300 = 2235237231729
BaseRepresentation
bin11000010001011011…
…01100111110001100
31020122011022111001110
430020231230332030
5203141430202200
65553021412020
7640631345031
oct141055547614
936564274043
1013031100300
115587797589
12263810a010
1312c897074a
148b8943388
15514046b50
hex308b6cf8c

13031100300 has 108 divisors (see below), whose sum is σ = 38751087480. Its totient is φ = 3380935680.

The previous prime is 13031100293. The next prime is 13031100331. The reversal of 13031100300 is 300113031.

13031100300 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 (12).

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 35 ways as a sum of consecutive naturals, for example, 394836 + ... + 426564.

Almost surely, 213031100300 is an apocalyptic number.

13031100300 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 13031100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375543740).

13031100300 is an abundant number, since it is smaller than the sum of its proper divisors (25719987180).

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

13031100300 is a wasteful number, since it uses less digits than its factorization.

13031100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31820 (or 31776 counting only the distinct ones).

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

Adding to 13031100300 its reverse (300113031), we get a palindrome (13331213331).

The spelling of 13031100300 in words is "thirteen billion, thirty-one million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1369 1850 2220 2738 2775 3700 4107 5476 5550 6845 8214 11100 13690 16428 20535 27380 31729 34225 41070 63458 68450 82140 95187 102675 126916 136900 158645 190374 205350 317290 380748 410700 475935 634580 793225 951870 1173973 1586450 1903740 2347946 2379675 3172900 3521919 4695892 4759350 5869865 7043838 9518700 11739730 14087676 17609595 23479460 29349325 35219190 43437001 58698650 70438380 86874002 88047975 117397300 130311003 173748004 176095950 217185005 260622006 352191900 434370010 521244012 651555015 868740020 1085925025 1303110030 2171850050 2606220060 3257775075 4343700100 6515550150 13031100300