Search a number
-
+
2121122313 = 32461511237
BaseRepresentation
bin111111001101101…
…1100001000001001
312110211021011210200
41332123130020021
513321001403223
6550251002413
7103364146032
oct17633341011
95424234720
102121122313
11999355652
124b2439409
1327a5a507b
141619c7a89
15c633aa43
hex7e6dc209

2121122313 has 12 divisors (see below), whose sum is σ = 3070495428. Its totient is φ = 1411011360.

The previous prime is 2121122309. The next prime is 2121122359. The reversal of 2121122313 is 3132211212.

2121122313 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 818417664 + 1302704649 = 28608^2 + 36093^2 .

It is not a de Polignac number, because 2121122313 - 22 = 2121122309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121122713) 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, 251470 + ... + 259767.

It is an arithmetic number, because the mean of its divisors is an integer number (255874619).

Almost surely, 22121122313 is an apocalyptic number.

It is an amenable number.

2121122313 is a deficient number, since it is larger than the sum of its proper divisors (949373115).

2121122313 is a wasteful number, since it uses less digits than its factorization.

2121122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511704 (or 511701 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2121122313 is about 46055.6436606851. The cubic root of 2121122313 is about 1284.8583093580.

Adding to 2121122313 its reverse (3132211212), we get a palindrome (5253333525).

The spelling of 2121122313 in words is "two billion, one hundred twenty-one million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 461 1383 4149 511237 1533711 4601133 235680257 707040771 2121122313