Search a number
-
+
2100012212221 = 711101442361051
BaseRepresentation
bin11110100011110010011…
…110110101111111111101
321102202111110110122020021
4132203302132311333331
5233401311111242341
64244422101452141
7304502155165510
oct36436236657775
97382443418207
102100012212221
1173a679168130
1229abb5a11051
1312305175b581
14738d93acd77
153995d32a9d1
hex1e8f27b5ffd

2100012212221 has 32 divisors (see below), whose sum is σ = 2644760918016. Its totient is φ = 1619778600000.

The previous prime is 2100012212219. The next prime is 2100012212281. The reversal of 2100012212221 is 1222122100012.

It is a happy number.

It is not a de Polignac number, because 2100012212221 - 21 = 2100012212219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100012212195 and 2100012212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100012212281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34367146 + ... + 34428196.

It is an arithmetic number, because the mean of its divisors is an integer number (82648778688).

Almost surely, 22100012212221 is an apocalyptic number.

It is an amenable number.

2100012212221 is a deficient number, since it is larger than the sum of its proper divisors (544748705795).

2100012212221 is a wasteful number, since it uses less digits than its factorization.

2100012212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65593.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2100012212221 its reverse (1222122100012), we get a palindrome (3322134312233).

It can be divided in two parts, 21000 and 12212221, that added together give a palindrome (12233221).

The spelling of 2100012212221 in words is "two trillion, one hundred billion, twelve million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 7 11 77 101 707 1111 4423 7777 30961 48653 61051 340571 427357 446723 671561 3127061 4700927 4913953 6166151 34397671 43163057 67827661 270028573 474793627 1890200011 2970314303 20792200121 27272885873 190910201111 300001744603 2100012212221