Search a number
-
+
1011424300 = 2252292291523
BaseRepresentation
bin111100010010010…
…001110000101100
32121111011200022021
4330102101300230
54032411034200
6244210155524
734030651615
oct7422216054
92544150267
101011424300
11479a17057
12242882ba4
1313170a123
1498482c0c
155dbdb41a
hex3c491c2c

1011424300 has 72 divisors (see below), whose sum is σ = 2281885200. Its totient is φ = 388657920.

The previous prime is 1011424289. The next prime is 1011424327. The reversal of 1011424300 is 34241101.

It is a super-2 number, since 2×10114243002 = 2045958229260980000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663339 + ... + 664861.

It is an arithmetic number, because the mean of its divisors is an integer number (31692850).

Almost surely, 21011424300 is an apocalyptic number.

1011424300 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 1011424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140942600).

1011424300 is an abundant number, since it is smaller than the sum of its proper divisors (1270460900).

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

1011424300 is a wasteful number, since it uses less digits than its factorization.

1011424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1011424300 is about 31802.8976667221. The cubic root of 1011424300 is about 1003.7936897186.

Adding to 1011424300 its reverse (34241101), we get a palindrome (1045665401).

The spelling of 1011424300 in words is "one billion, eleven million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 229 290 458 580 725 916 1145 1450 1523 2290 2900 3046 4580 5725 6092 6641 7615 11450 13282 15230 22900 26564 30460 33205 38075 44167 66410 76150 88334 132820 152300 166025 176668 220835 332050 348767 441670 664100 697534 883340 1104175 1395068 1743835 2208350 3487670 4416700 6975340 8719175 10114243 17438350 20228486 34876700 40456972 50571215 101142430 202284860 252856075 505712150 1011424300