Search a number
-
+
1312100300 = 225278921061
BaseRepresentation
bin100111000110101…
…0000111111001100
310101102221121020102
41032031100333030
510141344202200
6334110510232
744341445210
oct11615207714
93342847212
101312100300
11613712415
12307505378
1317bab3814
14c6390940
157a2d06d5
hex4e350fcc

1312100300 has 72 divisors (see below), whose sum is σ = 3290726880. Its totient is φ = 444787200.

The previous prime is 1312100261. The next prime is 1312100333. The reversal of 1312100300 is 30012131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51770 + ... + 72830.

It is an arithmetic number, because the mean of its divisors is an integer number (45704540).

Almost surely, 21312100300 is an apocalyptic number.

1312100300 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 1312100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645363440).

1312100300 is an abundant number, since it is smaller than the sum of its proper divisors (1978626580).

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

1312100300 is a wasteful number, since it uses less digits than its factorization.

1312100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21171 (or 21164 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1312100300 is about 36222.9250613475. The cubic root of 1312100300 is about 1094.7686312244.

Adding to 1312100300 its reverse (30012131), we get a palindrome (1342112431).

The spelling of 1312100300 in words is "one billion, three hundred twelve million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 89 100 140 175 178 350 356 445 623 700 890 1246 1780 2225 2492 3115 4450 6230 8900 12460 15575 21061 31150 42122 62300 84244 105305 147427 210610 294854 421220 526525 589708 737135 1053050 1474270 1874429 2106100 2948540 3685675 3748858 7371350 7497716 9372145 13121003 14742700 18744290 26242006 37488580 46860725 52484012 65605015 93721450 131210030 187442900 262420060 328025075 656050150 1312100300