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1314513300 = 2235241106871
BaseRepresentation
bin100111001011001…
…1110000110010100
310101121111012020210
41032112132012110
510143003411200
6334234325420
744401115202
oct11626360624
93347435223
101314513300
11615010331
12308289870
1317c449c29
14c681c072
157a60a650
hex4e59e194

1314513300 has 72 divisors (see below), whose sum is σ = 3896125632. Its totient is φ = 341984000.

The previous prime is 1314513289. The next prime is 1314513301. The reversal of 1314513300 is 33154131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314513301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41136 + ... + 65735.

It is an arithmetic number, because the mean of its divisors is an integer number (54112856).

Almost surely, 21314513300 is an apocalyptic number.

1314513300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314513300 is an abundant number, since it is smaller than the sum of its proper divisors (2581612332).

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

1314513300 is a wasteful number, since it uses less digits than its factorization.

1314513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106929 (or 106922 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1314513300 is about 36256.2173978478. The cubic root of 1314513300 is about 1095.4393266430.

Adding to 1314513300 its reverse (33154131), we get a palindrome (1347667431).

The spelling of 1314513300 in words is "one billion, three hundred fourteen million, five hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 106871 213742 320613 427484 534355 641226 1068710 1282452 1603065 2137420 2671775 3206130 4381711 5343550 6412260 8015325 8763422 10687100 13145133 16030650 17526844 21908555 26290266 32061300 43817110 52580532 65725665 87634220 109542775 131451330 219085550 262902660 328628325 438171100 657256650 1314513300