Search a number
-
+
10211011200221 = 131747626971719
BaseRepresentation
bin1001010010010110111110…
…1100100000010011011101
31100011011101221000212101012
42110211233230200103131
52314244122331401341
633414512423225005
72102502243062666
oct224455754402335
940134357025335
1010211011200221
113287513692997
12118ab66ba8165
13590b817c3c90
1427430379836d
1512a929e1a0eb
hex9496fb204dd

10211011200221 has 16 divisors (see below), whose sum is σ = 11004676636800. Its totient is φ = 9418519539648.

The previous prime is 10211011200193. The next prime is 10211011200227. The reversal of 10211011200221 is 12200211011201.

10211011200221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10211011200221 - 214 = 10211011183837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211011200196 and 10211011200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211011200227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142339400 + ... + 142411118.

It is an arithmetic number, because the mean of its divisors is an integer number (687792289800).

Almost surely, 210211011200221 is an apocalyptic number.

It is an amenable number.

10211011200221 is a deficient number, since it is larger than the sum of its proper divisors (793665436579).

10211011200221 is a wasteful number, since it uses less digits than its factorization.

10211011200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79748.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211011200221 its reverse (12200211011201), we get a palindrome (22411222211422).

The spelling of 10211011200221 in words is "ten trillion, two hundred eleven billion, eleven million, two hundred thousand, two hundred twenty-one".

Divisors: 1 13 1747 6269 22711 71719 81497 932347 10951943 125293093 142375259 449606411 1628810209 5844883343 785462400017 10211011200221