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2121331023 = 327311086191
BaseRepresentation
bin111111001110000…
…1111000101001111
312110211122210002200
41332130033011033
513321030043043
6550255252543
7103366005360
oct17634170517
95424583080
102121331023
11999488439
124b251a153
1327a649076
14161a3db67
15c637c7d3
hex7e70f14f

2121331023 has 24 divisors (see below), whose sum is σ = 3614846976. Its totient is φ = 1173085200.

The previous prime is 2121331007. The next prime is 2121331031. The reversal of 2121331023 is 3201331212.

It is not a de Polignac number, because 2121331023 - 24 = 2121331007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121330987 and 2121331005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121331123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541143 + ... + 545048.

It is an arithmetic number, because the mean of its divisors is an integer number (150618624).

Almost surely, 22121331023 is an apocalyptic number.

2121331023 is a deficient number, since it is larger than the sum of its proper divisors (1493515953).

2121331023 is a wasteful number, since it uses less digits than its factorization.

2121331023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086235 (or 1086232 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2121331023 is about 46057.9094510378. The cubic root of 2121331023 is about 1284.9004496252.

Adding to 2121331023 its reverse (3201331212), we get a palindrome (5322662235).

The spelling of 2121331023 in words is "two billion, one hundred twenty-one million, three hundred thirty-one thousand, twenty-three".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 1086191 3258573 7603337 9775719 22810011 33671921 68430033 101015763 235703447 303047289 707110341 2121331023