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20052410100 = 2235285977813
BaseRepresentation
bin10010101011001101…
…110111111011110100
31220202111010222101120
4102223031313323310
5312031404110400
613113440423540
71306626450012
oct225315677364
956674128346
1020052410100
118560076558
123a77617bb0
131b774c8028
14d832498b2
157c566eca0
hex4ab377ef4

20052410100 has 72 divisors (see below), whose sum is σ = 58086594720. Its totient is φ = 5341015680.

The previous prime is 20052410099. The next prime is 20052410107. The reversal of 20052410100 is 101425002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20052410100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20052410107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218794 + ... + 296606.

It is an arithmetic number, because the mean of its divisors is an integer number (806758260).

Almost surely, 220052410100 is an apocalyptic number.

20052410100 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 20052410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29043297360).

20052410100 is an abundant number, since it is smaller than the sum of its proper divisors (38034184620).

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

20052410100 is a wasteful number, since it uses less digits than its factorization.

20052410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78689 (or 78682 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 20052410100 its reverse (101425002), we get a palindrome (20153835102).

The spelling of 20052410100 in words is "twenty billion, fifty-two million, four hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 859 1718 2577 3436 4295 5154 8590 10308 12885 17180 21475 25770 42950 51540 64425 77813 85900 128850 155626 233439 257700 311252 389065 466878 778130 933756 1167195 1556260 1945325 2334390 3890650 4668780 5835975 7781300 11671950 23343900 66841367 133682734 200524101 267365468 334206835 401048202 668413670 802096404 1002620505 1336827340 1671034175 2005241010 3342068350 4010482020 5013102525 6684136700 10026205050 20052410100