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20014130332100 = 2252896433497323
BaseRepresentation
bin1001000110011111001110…
…01000010000000111000100
32121212022222011011202021002
410203033213020100013010
510110402414331111400
6110322210424112432
74133654543613242
oct443174710200704
977768864152232
1020014130332100
116416a43894753
1222b2a57905718
13b2242a8c65a8
144d2990b7d792
1524a930660ed5
hex1233e72101c4

20014130332100 has 72 divisors (see below), whose sum is σ = 43986963091680. Its totient is φ = 7903388148480.

The previous prime is 20014130332039. The next prime is 20014130332127. The reversal of 20014130332100 is 123303141002.

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

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, 3974039 + ... + 7471361.

It is an arithmetic number, because the mean of its divisors is an integer number (610930042940).

Almost surely, 220014130332100 is an apocalyptic number.

20014130332100 is a gapful number since it is divisible by the number (20) 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 20014130332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21993481545840).

20014130332100 is an abundant number, since it is smaller than the sum of its proper divisors (23972832759580).

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

20014130332100 is a wasteful number, since it uses less digits than its factorization.

20014130332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498069 (or 3498062 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20014130332100 its reverse (123303141002), we get a palindrome (20137433473102).

The spelling of 20014130332100 in words is "twenty trillion, fourteen billion, one hundred thirty million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 643 890 1286 1780 2225 2572 3215 4450 6430 8900 12860 16075 32150 57227 64300 114454 228908 286135 572270 1144540 1430675 2861350 3497323 5722700 6994646 13989292 17486615 34973230 69946460 87433075 174866150 311261747 349732300 622523494 1245046988 1556308735 2248778689 3112617470 4497557378 6225234940 7781543675 8995114756 11243893445 15563087350 22487786890 31126174700 44975573780 56219467225 112438934450 200141303321 224877868900 400282606642 800565213284 1000706516605 2001413033210 4002826066420 5003532583025 10007065166050 20014130332100