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5021434100 = 22522914911621
BaseRepresentation
bin1001010110100110…
…10000000011110100
3110221221201021121202
410223103100003310
540240441342400
62150134432032
7235302325364
oct45323200364
913857637552
105021434100
112147517841
12b81802618
136204249a7
14358c809a4
151e5c8c4d5
hex12b4d00f4

5021434100 has 72 divisors (see below), whose sum is σ = 11348883000. Its totient is φ = 1926131200.

The previous prime is 5021434087. The next prime is 5021434147. The reversal of 5021434100 is 14341205.

It can be written as a sum of positive squares in 12 ways, for example, as 3532400356 + 1489033744 = 59434^2 + 38588^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 426290 + ... + 437910.

It is an arithmetic number, because the mean of its divisors is an integer number (157623375).

Almost surely, 25021434100 is an apocalyptic number.

5021434100 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 5021434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674441500).

5021434100 is an abundant number, since it is smaller than the sum of its proper divisors (6327448900).

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

5021434100 is a wasteful number, since it uses less digits than its factorization.

5021434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11813 (or 11806 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5021434100 is about 70862.0780107386. The cubic root of 5021434100 is about 1712.4159164498.

Adding to 5021434100 its reverse (14341205), we get a palindrome (5035775305).

The spelling of 5021434100 in words is "five billion, twenty-one million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 149 290 298 580 596 725 745 1450 1490 2900 2980 3725 4321 7450 8642 11621 14900 17284 21605 23242 43210 46484 58105 86420 108025 116210 216050 232420 290525 337009 432100 581050 674018 1162100 1348036 1685045 1731529 3370090 3463058 6740180 6926116 8425225 8657645 16850450 17315290 33700900 34630580 43288225 50214341 86576450 100428682 173152900 200857364 251071705 502143410 1004286820 1255358525 2510717050 5021434100