Search a number
-
+
20210200121100 = 223521174311717039
BaseRepresentation
bin1001001100001100011011…
…10011001000111100001100
32122120002001121002000211010
410212012031303020330030
510122110442212333400
6110552234320125220
74154065412411163
oct446061563107414
978502047060733
1020210200121100
1164921090a9190
122324a57166810
13b37a768ba812
144dc270cb63da
15250aa8a48450
hex12618dcc8f0c

20210200121100 has 288 divisors, whose sum is σ = 63940227563520. Its totient is φ = 4887975456000.

The previous prime is 20210200121099. The next prime is 20210200121113. The reversal of 20210200121100 is 112100201202.

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

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, 2871171381 + ... + 2871178419.

It is an arithmetic number, because the mean of its divisors is an integer number (222014679040).

Almost surely, 220210200121100 is an apocalyptic number.

20210200121100 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 20210200121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31970113781760).

20210200121100 is an abundant number, since it is smaller than the sum of its proper divisors (43730027442420).

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

20210200121100 is a wasteful number, since it uses less digits than its factorization.

20210200121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8981 (or 8974 counting only the distinct ones).

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

Adding to 20210200121100 its reverse (112100201202), we get a palindrome (20322300322302).

The spelling of 20210200121100 in words is "twenty trillion, two hundred ten billion, two hundred million, one hundred twenty-one thousand, one hundred".