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1030303300 = 2252132927329
BaseRepresentation
bin111101011010010…
…010111001000100
32122210200211102111
4331122102321010
54102224201200
6250122550404
734350301465
oct7532227104
92583624374
101030303300
11489641134
12249068404
131355ba230
149ab98d6c
15606ba0ba
hex3d692e44

1030303300 has 72 divisors (see below), whose sum is σ = 2490856200. Its totient is φ = 367288320.

The previous prime is 1030303297. The next prime is 1030303303. The reversal of 1030303300 is 33030301.

1030303300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1030303297) and next prime (1030303303).

It can be written as a sum of positive squares in 12 ways, for example, as 457275456 + 573027844 = 21384^2 + 23938^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1030303303) 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, 24036 + ... + 51364.

It is an arithmetic number, because the mean of its divisors is an integer number (34595225).

Almost surely, 21030303300 is an apocalyptic number.

1030303300 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 1030303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245428100).

1030303300 is an abundant number, since it is smaller than the sum of its proper divisors (1460552900).

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

1030303300 is a wasteful number, since it uses less digits than its factorization.

1030303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27385 (or 27378 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 1030303300 is about 32098.3379632030. The cubic root of 1030303300 is about 1010.0007515597. Note that the first 3 decimals are identical.

Adding to 1030303300 its reverse (33030301), we get a palindrome (1063333601).

The spelling of 1030303300 in words is "one billion, thirty million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 754 1300 1450 1508 1885 2900 3770 7540 9425 18850 27329 37700 54658 109316 136645 273290 355277 546580 683225 710554 792541 1366450 1421108 1585082 1776385 2732900 3170164 3552770 3962705 7105540 7925410 8881925 10303033 15850820 17763850 19813525 20606066 35527700 39627050 41212132 51515165 79254100 103030330 206060660 257575825 515151650 1030303300