Search a number
-
+
20020210002100 = 225271176110493257
BaseRepresentation
bin1001000110101010100011…
…00000010110100010110100
32121212220122212010222122001
410203111101200112202310
510111002342230031400
6110325054004345044
74134261316141540
oct443252140264264
977786585128561
1020020210002100
116419583690810
1222b40739a5184
13b22b89338469
144d2daa3aaa20
1524ab89284a6a
hex1235518168b4

20020210002100 has 288 divisors, whose sum is σ = 54303311865600. Its totient is φ = 6224013312000.

The previous prime is 20020210002071. The next prime is 20020210002127. The reversal of 20020210002100 is 120001202002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6146823672 + ... + 6146826928.

It is an arithmetic number, because the mean of its divisors is an integer number (188553166200).

Almost surely, 220020210002100 is an apocalyptic number.

20020210002100 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 20020210002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27151655932800).

20020210002100 is an abundant number, since it is smaller than the sum of its proper divisors (34283101863500).

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

20020210002100 is a wasteful number, since it uses less digits than its factorization.

20020210002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20020210002100 its reverse (120001202002), we get a palindrome (20140211204102).

The spelling of 20020210002100 in words is "twenty trillion, twenty billion, two hundred ten million, two thousand, one hundred".