Search a number
-
+
22122133131 = 375921538293
BaseRepresentation
bin10100100110100101…
…001111011010001011
32010002201200210122010
4110212211033122023
5330301231230011
614055054031003
71412131012650
oct244645173213
963081623563
1022122133131
11942240505a
1243547a8463
132117244b07
1410dc093c27
158972061a6
hex52694f68b

22122133131 has 32 divisors (see below), whose sum is σ = 34301329920. Its totient is φ = 12419691264.

The previous prime is 22122133127. The next prime is 22122133141. The reversal of 22122133131 is 13133122122.

It is not a de Polignac number, because 22122133131 - 22 = 22122133127 is a prime.

It is a super-2 number, since 2×221221331312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22122133098 and 22122133107.

It is not an unprimeable number, because it can be changed into a prime (22122133141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2663421 + ... + 2671713.

It is an arithmetic number, because the mean of its divisors is an integer number (1071916560).

Almost surely, 222122133131 is an apocalyptic number.

22122133131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22122133131 is a deficient number, since it is larger than the sum of its proper divisors (12179196789).

22122133131 is a wasteful number, since it uses less digits than its factorization.

22122133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10515.

The product of its digits is 432, while the sum is 21.

Adding to 22122133131 its reverse (13133122122), we get a palindrome (35255255253).

The spelling of 22122133131 in words is "twenty-two billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 59 177 413 1239 2153 6459 8293 15071 24879 45213 58051 127027 174153 381081 489287 889189 1467861 2667567 3425009 10275027 17854829 53564487 124983803 374951409 1053434911 3160304733 7374044377 22122133131