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5302534100 = 2252416797199
BaseRepresentation
bin1001111000000111…
…00011111111010100
3111200112122122022212
410330003203333110
541324422042400
62234055412552
7245254540043
oct47403437724
914615578285
105302534100
112281162396
12103b984158
13666735c56
1438433455a
152107b6335
hex13c0e3fd4

5302534100 has 144 divisors (see below), whose sum is σ = 12147139200. Its totient is φ = 2007244800.

The previous prime is 5302534049. The next prime is 5302534151. The reversal of 5302534100 is 14352035.

It is an interprime number because it is at equal distance from previous prime (5302534049) and next prime (5302534151).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26645801 + ... + 26645999.

Almost surely, 25302534100 is an apocalyptic number.

5302534100 is a gapful number since it is divisible by the number (50) 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 5302534100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073569600).

5302534100 is an abundant number, since it is smaller than the sum of its proper divisors (6844605100).

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

5302534100 is a wasteful number, since it uses less digits than its factorization.

5302534100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 5302534100 is about 72818.5010831725. The cubic root of 5302534100 is about 1743.7912335500.

Adding to 5302534100 its reverse (14352035), we get a palindrome (5316886135).

The spelling of 5302534100 in words is "five billion, three hundred two million, five hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 67 82 97 100 134 164 194 199 205 268 335 388 398 410 485 670 796 820 970 995 1025 1340 1675 1940 1990 2050 2425 2747 3350 3977 3980 4100 4850 4975 5494 6499 6700 7954 8159 9700 9950 10988 12998 13333 13735 15908 16318 19303 19885 19900 25996 26666 27470 32495 32636 38606 39770 40795 53332 54940 64990 66665 68675 77212 79540 81590 96515 99425 129980 133330 137350 162475 163180 193030 198850 203975 266459 266660 274700 324950 333325 386060 397700 407950 482575 532918 546653 649900 666650 791423 815900 965150 1065836 1093306 1293301 1332295 1333300 1582846 1930300 2186612 2586602 2664590 2733265 3165692 3957115 5173204 5329180 5466530 6466505 6661475 7914230 10933060 12933010 13322950 13666325 15828460 19785575 25866020 26645900 27332650 32332525 39571150 53025341 54665300 64665050 79142300 106050682 129330100 212101364 265126705 530253410 1060506820 1325633525 2651267050 5302534100