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1312300000 = 2555111193
BaseRepresentation
bin100111000111000…
…0001101111100000
310101110022202011201
41032032001233200
510141422100000
6334115050544
744343236344
oct11616015740
93343282151
101312300000
11613839460
123075a0a54
1317bb5369b
14c6403624
157a31e96a
hex4e381be0

1312300000 has 144 divisors (see below), whose sum is σ = 3525805584. Its totient is φ = 476800000.

The previous prime is 1312299991. The next prime is 1312300009. The reversal of 1312300000 is 32131.

It is an interprime number because it is at equal distance from previous prime (1312299991) and next prime (1312300009).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1312300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312300009) 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, 1099404 + ... + 1100596.

It is an arithmetic number, because the mean of its divisors is an integer number (24484761).

Almost surely, 21312300000 is an apocalyptic number.

1312300000 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 1312300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762902792).

1312300000 is an abundant number, since it is smaller than the sum of its proper divisors (2213505584).

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

1312300000 is an equidigital number, since it uses as much as digits as its factorization.

1312300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1211 counting only the distinct ones).

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

The square root of 1312300000 is about 36225.6814980754. The cubic root of 1312300000 is about 1094.8241692055.

Adding to 1312300000 its reverse (32131), we get a palindrome (1312332131).

The spelling of 1312300000 in words is "one billion, three hundred twelve million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1193 1250 1375 1760 2000 2200 2386 2500 2750 3125 4000 4400 4772 5000 5500 5965 6250 6875 8800 9544 10000 11000 11930 12500 13123 13750 19088 20000 22000 23860 25000 26246 27500 29825 34375 38176 44000 47720 50000 52492 55000 59650 65615 68750 95440 100000 104984 110000 119300 131230 137500 149125 190880 209968 220000 238600 262460 275000 298250 328075 419936 477200 524920 550000 596500 656150 745625 954400 1049840 1100000 1193000 1312300 1491250 1640375 2099680 2386000 2624600 2982500 3280750 3728125 4772000 5249200 5965000 6561500 7456250 8201875 10498400 11930000 13123000 14912500 16403750 23860000 26246000 29825000 32807500 41009375 52492000 59650000 65615000 82018750 119300000 131230000 164037500 262460000 328075000 656150000 1312300000