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2120813223 = 31779526387
BaseRepresentation
bin111111001101001…
…0000101010100111
312110210200110210220
41332122100222213
513320412010343
6550240215423
7103361420634
oct17632205247
95423613726
102120813223
11999164401
124b230a573
1327a4c7489
1416194718b
15c62c9183
hex7e690aa7

2120813223 has 16 divisors (see below), whose sum is σ = 3031994880. Its totient is φ = 1313859456.

The previous prime is 2120813221. The next prime is 2120813237. The reversal of 2120813223 is 3223180212.

It is a happy number.

It is not a de Polignac number, because 2120813223 - 21 = 2120813221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120813193 and 2120813202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120813221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259165 + ... + 267222.

It is an arithmetic number, because the mean of its divisors is an integer number (189499680).

Almost surely, 22120813223 is an apocalyptic number.

2120813223 is a deficient number, since it is larger than the sum of its proper divisors (911181657).

2120813223 is a wasteful number, since it uses less digits than its factorization.

2120813223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526486.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2120813223 is about 46052.2879236200. The cubic root of 2120813223 is about 1284.7958964639.

Adding to 2120813223 its reverse (3223180212), we get a palindrome (5343993435).

The spelling of 2120813223 in words is "two billion, one hundred twenty million, eight hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 3 17 51 79 237 1343 4029 526387 1579161 8948579 26845737 41584573 124753719 706937741 2120813223