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5023104100 = 22527192931289
BaseRepresentation
bin1001010110110011…
…00111110001100100
3110222001212010102121
410223121213301210
540241403312400
62150234315324
7235322452240
oct45331476144
913861763377
105023104100
112148458503
12b82288b44
1362088ab61
14359197420
151e5ebc21a
hex12b667c64

5023104100 has 144 divisors (see below), whose sum is σ = 13167907200. Its totient is φ = 1624734720.

The previous prime is 5023104089. The next prime is 5023104161. The reversal of 5023104100 is 14013205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3896256 + ... + 3897544.

It is an arithmetic number, because the mean of its divisors is an integer number (91443800).

Almost surely, 25023104100 is an apocalyptic number.

5023104100 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 5023104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583953600).

5023104100 is an abundant number, since it is smaller than the sum of its proper divisors (8144803100).

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

5023104100 is a wasteful number, since it uses less digits than its factorization.

5023104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5023104100 is about 70873.8604846667. The cubic root of 5023104100 is about 1712.6057305917.

Adding to 5023104100 its reverse (14013205), we get a palindrome (5037117305).

The spelling of 5023104100 in words is "five billion, twenty-three million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 293 350 380 475 532 586 665 700 950 1172 1289 1330 1465 1900 2051 2578 2660 2930 3325 4102 5156 5567 5860 6445 6650 7325 8204 9023 10255 11134 12890 13300 14650 18046 20510 22268 24491 25780 27835 29300 32225 36092 38969 41020 45115 48982 51275 55670 64450 77938 90230 97964 102550 111340 122455 128900 139175 155876 171437 180460 194845 205100 225575 244910 278350 342874 377677 389690 451150 489820 556700 612275 685748 755354 779380 857185 902300 974225 1224550 1510708 1714370 1888385 1948450 2449100 2643739 3428740 3776770 3896900 4285925 5287478 7175863 7553540 8571850 9441925 10574956 13218695 14351726 17143700 18883850 26437390 28703452 35879315 37767700 50231041 52874780 66093475 71758630 100462082 132186950 143517260 179396575 200924164 251155205 264373900 358793150 502310410 717586300 1004620820 1255776025 2511552050 5023104100