Search a number
-
+
2122112331 = 33578313591
BaseRepresentation
bin111111001111100…
…1101110101001011
312110220010110212000
41332133031311023
513321230043311
6550324122043
7103405441263
oct17637156513
95426113760
102122112331
11999971449
124b2836323
1327a860891
14161ba47a3
15c6484056
hex7e7cdd4b

2122112331 has 16 divisors (see below), whose sum is σ = 3144645120. Its totient is φ = 1414392840.

The previous prime is 2122112303. The next prime is 2122112353. The reversal of 2122112331 is 1332112212.

It is not a de Polignac number, because 2122112331 - 211 = 2122110283 is a prime.

It is a super-2 number, since 2×21221123312 = 9006721490764507122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122112131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149346 + ... + 162936.

It is an arithmetic number, because the mean of its divisors is an integer number (196540320).

Almost surely, 22122112331 is an apocalyptic number.

2122112331 is a deficient number, since it is larger than the sum of its proper divisors (1022532789).

2122112331 is a wasteful number, since it uses less digits than its factorization.

2122112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19383 (or 19377 counting only the distinct ones).

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

The square root of 2122112331 is about 46066.3904707109. The cubic root of 2122112331 is about 1285.0581776059.

Adding to 2122112331 its reverse (1332112212), we get a palindrome (3454224543).

The spelling of 2122112331 in words is "two billion, one hundred twenty-two million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 27 5783 13591 17349 40773 52047 122319 156141 366957 78596753 235790259 707370777 2122112331