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1343130300 = 22325210314489
BaseRepresentation
bin101000000001110…
…1000101010111100
310110121100002101200
41100003220222330
510222320132200
6341135535500
745166263531
oct12003505274
93417302350
101343130300
1162a186746
1231598a590
13185359575
14ca54ad88
157cdae800
hex500e8abc

1343130300 has 108 divisors (see below), whose sum is σ = 4251134160. Its totient is φ = 354666240.

The previous prime is 1343130289. The next prime is 1343130301. The reversal of 1343130300 is 30313431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343130301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 85456 + ... + 99944.

Almost surely, 21343130300 is an apocalyptic number.

1343130300 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 1343130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125567080).

1343130300 is an abundant number, since it is smaller than the sum of its proper divisors (2908003860).

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

1343130300 is a wasteful number, since it uses less digits than its factorization.

1343130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14612 (or 14602 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1343130300 is about 36648.7421339396. The cubic root of 1343130300 is about 1103.3315798680.

Adding to 1343130300 its reverse (30313431), we get a palindrome (1373443731).

The spelling of 1343130300 in words is "one billion, three hundred forty-three million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 150 180 206 225 300 309 412 450 515 618 900 927 1030 1236 1545 1854 2060 2575 3090 3708 4635 5150 6180 7725 9270 10300 14489 15450 18540 23175 28978 30900 43467 46350 57956 72445 86934 92700 130401 144890 173868 217335 260802 289780 362225 434670 521604 652005 724450 869340 1086675 1304010 1448900 1492367 2173350 2608020 2984734 3260025 4346700 4477101 5969468 6520050 7461835 8954202 13040100 13431303 14923670 17908404 22385505 26862606 29847340 37309175 44771010 53725212 67156515 74618350 89542020 111927525 134313030 149236700 223855050 268626060 335782575 447710100 671565150 1343130300