Search a number
-
+
22312131122130 = 23531731913594793
BaseRepresentation
bin1010001001010111100101…
…01001100101001111010010
32221000000111210002020110120
411010223302221211033102
510411030221031402010
6115242015044211110
74461666260212323
oct504536251451722
987000453066416
1022312131122130
117122581384793
1226042a7699a96
13c5b042a2a985
14571cad04044a
1528a5ca543e70
hex144af2a653d2

22312131122130 has 256 divisors, whose sum is σ = 56495772794880. Its totient is φ = 5632447795200.

The previous prime is 22312131122129. The next prime is 22312131122137. The reversal of 22312131122130 is 3122113121322.

It is a super-3 number, since 3×223121311221303 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22312131122130.

It is not an unprimeable number, because it can be changed into a prime (22312131122137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4655147014 + ... + 4655151806.

It is an arithmetic number, because the mean of its divisors is an integer number (220686612480).

Almost surely, 222312131122130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22312131122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28247886397440).

22312131122130 is an abundant number, since it is smaller than the sum of its proper divisors (34183641672750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22312131122130 is a wasteful number, since it uses less digits than its factorization.

22312131122130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 22312131122130 its reverse (3122113121322), we get a palindrome (25434244243452).

The spelling of 22312131122130 in words is "twenty-two trillion, three hundred twelve billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred thirty".