Search a number
-
+
202121110020 = 2235176129311087
BaseRepresentation
bin1011110000111101011…
…0110110001000000100
3201022201011112020102210
42330033112312020010
511302421001010040
6232504140503420
720413515042144
oct2741726661004
9638634466383
10202121110020
11787a0108595
1233209b4ab70
13160a18bb76b
149ad5aa4924
1553ce7ab480
hex2f0f5b6204

202121110020 has 192 divisors, whose sum is σ = 611186881536. Its totient is φ = 49722040320.

The previous prime is 202121109989. The next prime is 202121110031. The reversal of 202121110020 is 20011121202.

202121110020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202121109978 and 202121110005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18224917 + ... + 18236003.

It is an arithmetic number, because the mean of its divisors is an integer number (3183265008).

Almost surely, 2202121110020 is an apocalyptic number.

202121110020 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 202121110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305593440768).

202121110020 is an abundant number, since it is smaller than the sum of its proper divisors (409065771516).

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

202121110020 is a wasteful number, since it uses less digits than its factorization.

202121110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11470 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202121110020 its reverse (20011121202), we get a palindrome (222132231222).

The spelling of 202121110020 in words is "two hundred two billion, one hundred twenty-one million, one hundred ten thousand, twenty".