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1030312000 = 2653294441
BaseRepresentation
bin111101011010010…
…101000001000000
32122210201021100201
4331122111001000
54102224441000
6250123054544
734350336034
oct7532250100
92583637321
101030312000
11489647723
12249071454
131355c1193
149ab9c1c4
15606bc96a
hex3d695040

1030312000 has 112 divisors (see below), whose sum is σ = 2640147120. Its totient is φ = 397824000.

The previous prime is 1030311973. The next prime is 1030312033. The reversal of 1030312000 is 2130301.

It can be written as a sum of positive squares in 8 ways, for example, as 378224704 + 652087296 = 19448^2 + 25536^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229780 + ... + 234220.

Almost surely, 21030312000 is an apocalyptic number.

1030312000 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 1030312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320073560).

1030312000 is an abundant number, since it is smaller than the sum of its proper divisors (1609835120).

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

1030312000 is an equidigital number, since it uses as much as digits as its factorization.

1030312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4477 counting only the distinct ones).

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

The square root of 1030312000 is about 32098.4734839525. The cubic root of 1030312000 is about 1010.0035944061.

Adding to 1030312000 its reverse (2130301), we get a palindrome (1032442301).

The spelling of 1030312000 in words is "one billion, thirty million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 725 800 928 1000 1160 1450 1600 1856 2000 2320 2900 3625 4000 4441 4640 5800 7250 8000 8882 9280 11600 14500 17764 22205 23200 29000 35528 44410 46400 58000 71056 88820 111025 116000 128789 142112 177640 222050 232000 257578 284224 355280 444100 515156 555125 643945 710560 888200 1030312 1110250 1287890 1421120 1776400 2060624 2220500 2575780 3219725 3552800 4121248 4441000 5151560 6439450 7105600 8242496 8882000 10303120 12878900 16098625 17764000 20606240 25757800 32197250 35528000 41212480 51515600 64394500 103031200 128789000 206062400 257578000 515156000 1030312000