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2122132221 = 321121435679
BaseRepresentation
bin111111001111101…
…0010101011111101
312110220011111010200
41332133102223331
513321231212341
6550324354113
7103405553256
oct17637225375
95426144120
102122132221
11999985390
124b2845939
1327a869951
14161babb2d
15c6489db6
hex7e7d2afd

2122132221 has 12 divisors (see below), whose sum is σ = 3343966080. Its totient is φ = 1286140680.

The previous prime is 2122132213. The next prime is 2122132241. The reversal of 2122132221 is 1222312212.

It is not a de Polignac number, because 2122132221 - 23 = 2122132213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2122132194 and 2122132203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122132241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10717741 + ... + 10717938.

It is an arithmetic number, because the mean of its divisors is an integer number (278663840).

Almost surely, 22122132221 is an apocalyptic number.

It is an amenable number.

2122132221 is a deficient number, since it is larger than the sum of its proper divisors (1221833859).

2122132221 is a wasteful number, since it uses less digits than its factorization.

2122132221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21435696 (or 21435693 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2122132221 is about 46066.6063542779. The cubic root of 2122132221 is about 1285.0621924307.

Adding to 2122132221 its reverse (1222312212), we get a palindrome (3344444433).

Subtracting from 2122132221 its reverse (1222312212), we obtain a square (899820009 = 299972).

The spelling of 2122132221 in words is "two billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 21435679 64307037 192921111 235792469 707377407 2122132221