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1312000300 = 22521347109197
BaseRepresentation
bin100111000110011…
…1000100100101100
310101102202112001201
41032030320210230
510141333002200
6334104415244
744340550522
oct11614704454
93342675051
101312000300
11613654276
12307477524
1317ba7a150
14c6366312
157a2b0c6a
hex4e33892c

1312000300 has 144 divisors (see below), whose sum is σ = 3176046720. Its totient is φ = 467389440.

The previous prime is 1312000273. The next prime is 1312000303. The reversal of 1312000300 is 30002131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1312000303) 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, 6659802 + ... + 6659998.

It is an arithmetic number, because the mean of its divisors is an integer number (22055880).

Almost surely, 21312000300 is an apocalyptic number.

1312000300 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 1312000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588023360).

1312000300 is an abundant number, since it is smaller than the sum of its proper divisors (1864046420).

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

1312000300 is a wasteful number, since it uses less digits than its factorization.

1312000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1312000300 is about 36221.5446937317. The cubic root of 1312000300 is about 1094.7408184003.

Adding to 1312000300 its reverse (30002131), we get a palindrome (1342002431).

The spelling of 1312000300 in words is "one billion, three hundred twelve million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 109 130 188 197 218 235 260 325 394 436 470 545 611 650 788 940 985 1090 1175 1222 1300 1417 1970 2180 2350 2444 2561 2725 2834 3055 3940 4700 4925 5122 5123 5450 5668 6110 7085 9259 9850 10244 10246 10900 12220 12805 14170 15275 18518 19700 20492 21473 25610 25615 28340 30550 35425 37036 42946 46295 51220 51230 61100 64025 66599 70850 85892 92590 102460 107365 120367 128050 128075 133198 141700 185180 214730 231475 240734 256100 256150 266396 279149 332995 429460 462950 481468 512300 536825 558298 601835 665990 925900 1009231 1073650 1116596 1203670 1331980 1395745 1664975 2018462 2147300 2407340 2791490 3009175 3329950 4036924 5046155 5582980 6018350 6659900 6978725 10092310 12036700 13120003 13957450 20184620 25230775 26240006 27914900 50461550 52480012 65600015 100923100 131200030 262400060 328000075 656000150 1312000300