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5132254100 = 22521710927697
BaseRepresentation
bin1001100011110011…
…11111101110010100
3111020200020112002012
410301321333232110
541002324112400
62205134003352
7241116303641
oct46171775624
914220215065
105132254100
1121a4029516
12bb2946558
1363a38635c
1436988adc8
1520087cd35
hex131e7fb94

5132254100 has 72 divisors (see below), whose sum is σ = 11900722680. Its totient is φ = 1914347520.

The previous prime is 5132254087. The next prime is 5132254111. The reversal of 5132254100 is 14522315.

It can be written as a sum of positive squares in 12 ways, for example, as 1747574416 + 3384679684 = 41804^2 + 58178^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171452 + ... + 199148.

It is an arithmetic number, because the mean of its divisors is an integer number (165287815).

Almost surely, 25132254100 is an apocalyptic number.

5132254100 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 5132254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950361340).

5132254100 is an abundant number, since it is smaller than the sum of its proper divisors (6768468580).

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

5132254100 is a wasteful number, since it uses less digits than its factorization.

5132254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27837 (or 27830 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5132254100 is about 71639.7522329607. The cubic root of 5132254100 is about 1724.9216907670.

Adding to 5132254100 its reverse (14522315), we get a palindrome (5146776415).

The spelling of 5132254100 in words is "five billion, one hundred thirty-two million, two hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 109 170 218 340 425 436 545 850 1090 1700 1853 2180 2725 3706 5450 7412 9265 10900 18530 27697 37060 46325 55394 92650 110788 138485 185300 276970 470849 553940 692425 941698 1384850 1883396 2354245 2769700 3018973 4708490 6037946 9416980 11771225 12075892 15094865 23542450 30189730 47084900 51322541 60379460 75474325 102645082 150948650 205290164 256612705 301897300 513225410 1026450820 1283063525 2566127050 5132254100