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2141121321 = 32171011271091
BaseRepresentation
bin111111110011110…
…1110101100101001
312112012220020021200
41333213232230221
513341111340241
6552243354413
7104026142133
oct17747565451
95465806250
102141121321
119a9675159
124b9082a09
13281787bc1
14164512053
15c7e8b4b6
hex7f9eeb29

2141121321 has 48 divisors (see below), whose sum is σ = 3336173568. Its totient is φ = 1318464000.

The previous prime is 2141121293. The next prime is 2141121377. The reversal of 2141121321 is 1231211412.

2141121321 is a `hidden beast` number, since 21 + 411 + 213 + 21 = 666.

It is not a de Polignac number, because 2141121321 - 27 = 2141121193 is a prime.

It is a super-2 number, since 2×21411213212 = 9168801022481570082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2141121294 and 2141121303.

It is not an unprimeable number, because it can be changed into a prime (2141121391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1961986 + ... + 1963076.

It is an arithmetic number, because the mean of its divisors is an integer number (69503616).

Almost surely, 22141121321 is an apocalyptic number.

It is an amenable number.

2141121321 is a deficient number, since it is larger than the sum of its proper divisors (1195052247).

2141121321 is a wasteful number, since it uses less digits than its factorization.

2141121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1339 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2141121321 is about 46272.2521712527. The cubic root of 2141121321 is about 1288.8837811400.

Adding to 2141121321 its reverse (1231211412), we get a palindrome (3372332733).

Subtracting from 2141121321 its reverse (1231211412), we obtain a palindrome (909909909).

The spelling of 2141121321 in words is "two billion, one hundred forty-one million, one hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 101 127 153 303 381 909 1091 1143 1717 2159 3273 5151 6477 9819 12827 15453 18547 19431 38481 55641 110191 115443 138557 166923 218059 330573 415671 654177 991719 1247013 1873247 1962531 2355469 5619741 7066407 13994257 16859223 21199221 41982771 125948313 237902369 713707107 2141121321