Search a number
-
+
22143442031100 = 223252132416978307
BaseRepresentation
bin1010000100011101010111…
…11111110001000111111100
32220101220002112210112101100
411002032223333301013330
510400244232124443400
6115032320135413100
74443545064461235
oct502165377610774
986356075715340
1022143442031100
117067a87825965
122597669b24190
13c4816b55b090
14567a6952808c
15286005d41100
hex1423abff11fc

22143442031100 has 216 divisors, whose sum is σ = 74750465993840. Its totient is φ = 5450398295040.

The previous prime is 22143442031093. The next prime is 22143442031101. The reversal of 22143442031100 is 113024434122.

22143442031100 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 344 + 2 + 0 + 311 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22143442031101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282738147 + ... + 282816453.

Almost surely, 222143442031100 is an apocalyptic number.

22143442031100 is a gapful number since it is divisible by the number (20) 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 22143442031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37375232996920).

22143442031100 is an abundant number, since it is smaller than the sum of its proper divisors (52607023962740).

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

22143442031100 is a wasteful number, since it uses less digits than its factorization.

22143442031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102509 (or 102499 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22143442031100 its reverse (113024434122), we get a palindrome (22256466465222).

The spelling of 22143442031100 in words is "twenty-two trillion, one hundred forty-three billion, four hundred forty-two million, thirty-one thousand, one hundred".