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13260000300 = 22352439971031
BaseRepresentation
bin11000101100101101…
…11000110000101100
31021020010000210211020
430112112320300230
5204124030002200
610031435454140
7646411100001
oct142626706054
937203023736
1013260000300
115694a19538
1226a08b7350
131334206131
148db0c98a8
155291adea0
hex3165b8c2c

13260000300 has 144 divisors (see below), whose sum is σ = 39335315712. Its totient is φ = 3446956800.

The previous prime is 13260000239. The next prime is 13260000329. The reversal of 13260000300 is 300006231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13260000300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12860785 + ... + 12861815.

Almost surely, 213260000300 is an apocalyptic number.

13260000300 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 13260000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19667657856).

13260000300 is an abundant number, since it is smaller than the sum of its proper divisors (26075315412).

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

13260000300 is a wasteful number, since it uses less digits than its factorization.

13260000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13260000300 its reverse (300006231), we get a palindrome (13560006531).

The spelling of 13260000300 in words is "thirteen billion, two hundred sixty million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 997 1031 1075 1290 1994 2062 2150 2580 2991 3093 3225 3988 4124 4300 4985 5155 5982 6186 6450 9970 10310 11964 12372 12900 14955 15465 19940 20620 24925 25775 29910 30930 42871 44333 49850 51550 59820 61860 74775 77325 85742 88666 99700 103100 128613 132999 149550 154650 171484 177332 214355 221665 257226 265998 299100 309300 428710 443330 514452 531996 643065 664995 857420 886660 1027907 1071775 1108325 1286130 1329990 2055814 2143550 2216650 2572260 2659980 3083721 3215325 3324975 4111628 4287100 4433300 5139535 6167442 6430650 6649950 10279070 12334884 12861300 13299900 15418605 20558140 25697675 30837210 44200001 51395350 61674420 77093025 88400002 102790700 132600003 154186050 176800004 221000005 265200006 308372100 442000010 530400012 663000015 884000020 1105000025 1326000030 2210000050 2652000060 3315000075 4420000100 6630000150 13260000300