Search a number
-
+
22221312411012 = 2231113821129712161
BaseRepresentation
bin1010000110101110011010…
…11011101100010110000100
32220200100002110122200211020
411003113031123230112010
510403033221434123022
6115132155140111140
74452302560002021
oct503271533542604
986610073580736
1022221312411012
117098007602940
1225aa7806954b0
13c525cb403c60
1456b735506548
1528806239635c
hex1435cd6ec584

22221312411012 has 192 divisors, whose sum is σ = 61040603973888. Its totient is φ = 6202884096000.

The previous prime is 22221312410981. The next prime is 22221312411041. The reversal of 22221312411012 is 21011421312222.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1827254212 + ... + 1827266372.

It is an arithmetic number, because the mean of its divisors is an integer number (317919812364).

Almost surely, 222221312411012 is an apocalyptic number.

22221312411012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221312411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30520301986944).

22221312411012 is an abundant number, since it is smaller than the sum of its proper divisors (38819291562876).

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

22221312411012 is a wasteful number, since it uses less digits than its factorization.

22221312411012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14310 (or 14308 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 22221312411012 its reverse (21011421312222), we get a palindrome (43232733723234).

The spelling of 22221312411012 in words is "twenty-two trillion, two hundred twenty-one billion, three hundred twelve million, four hundred eleven thousand, twelve".