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1314300300 = 2235219297951
BaseRepresentation
bin100111001010110…
…1010000110001100
310101121002101001220
41032111222012030
510142430102200
6334230003340
744366240205
oct11625520614
93347071056
101314300300
116149852a5
123081a6550
1317c3a3cb1
14c67a45ac
157a5b74a0
hex4e56a18c

1314300300 has 144 divisors (see below), whose sum is σ = 4141401600. Its totient is φ = 320544000.

The previous prime is 1314300287. The next prime is 1314300301. The reversal of 1314300300 is 30034131.

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 1314300300.

It is not an unprimeable number, because it can be changed into a prime (1314300301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161325 + ... + 169275.

Almost surely, 21314300300 is an apocalyptic number.

1314300300 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 1314300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070700800).

1314300300 is an abundant number, since it is smaller than the sum of its proper divisors (2827101300).

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

1314300300 is a wasteful number, since it uses less digits than its factorization.

1314300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016 (or 8009 counting only the distinct ones).

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

The square root of 1314300300 is about 36253.2798516217. The cubic root of 1314300300 is about 1095.3801561550.

Adding to 1314300300 its reverse (30034131), we get a palindrome (1344334431).

The spelling of 1314300300 in words is "one billion, three hundred fourteen million, three hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 29 30 38 50 57 58 60 75 76 87 95 100 114 116 145 150 174 190 228 285 290 300 348 380 435 475 551 570 580 725 870 950 1102 1140 1425 1450 1653 1740 1900 2175 2204 2755 2850 2900 3306 4350 5510 5700 6612 7951 8265 8700 11020 13775 15902 16530 23853 27550 31804 33060 39755 41325 47706 55100 79510 82650 95412 119265 151069 159020 165300 198775 230579 238530 302138 397550 453207 461158 477060 596325 604276 691737 755345 795100 906414 922316 1152895 1192650 1383474 1510690 1812828 2266035 2305790 2385300 2766948 3021380 3458685 3776725 4381001 4532070 4611580 5764475 6917370 7553450 8762002 9064140 11330175 11528950 13143003 13834740 15106900 17293425 17524004 21905005 22660350 23057900 26286006 34586850 43810010 45320700 52572012 65715015 69173700 87620020 109525025 131430030 219050050 262860060 328575075 438100100 657150150 1314300300