Search a number
-
+
22001220200112 = 243173741137129733
BaseRepresentation
bin1010000000010100011101…
…11010100010011010110000
32212220021222212022221111120
411000022032322202122300
510340431444332400422
6114443115424142240
74430351514036456
oct500121672423260
985807885287446
1022001220200112
11701273526126a
122573b98167980
13c37924592aba
14560c16bb89d6
1528248003e45c
hex14028eea26b0

22001220200112 has 320 divisors, whose sum is σ = 63776395799424. Its totient is φ = 6504119009280.

The previous prime is 22001220200093. The next prime is 22001220200117. The reversal of 22001220200112 is 21100202210022.

It is a junction number, because it is equal to n+sod(n) for n = 22001220200091 and 22001220200100.

It is not an unprimeable number, because it can be changed into a prime (22001220200117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169523598 + ... + 169653330.

Almost surely, 222001220200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001220200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31888197899712).

22001220200112 is an abundant number, since it is smaller than the sum of its proper divisors (41775175599312).

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

22001220200112 is a wasteful number, since it uses less digits than its factorization.

22001220200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129976 (or 129970 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22001220200112 its reverse (21100202210022), we get a palindrome (43101422410134).

The spelling of 22001220200112 in words is "twenty-two trillion, one billion, two hundred twenty million, two hundred thousand, one hundred twelve".