Search a number
-
+
20101344433120 = 255196612284353
BaseRepresentation
bin1001001001000001101010…
…11111101001001111100000
32122011200002020220010102201
410210200311133221033200
510113320023133324440
6110430232525022544
74143163024341316
oct444406537511740
978150066803381
1020101344433120
11644aa28989695
1223079376b4a54
13b2a7194b7a22
144d6ca5a880b6
1524cd3713b19a
hex1248357e93e0

20101344433120 has 48 divisors (see below), whose sum is σ = 49988869716240. Its totient is φ = 7617351573504.

The previous prime is 20101344433111. The next prime is 20101344433127. The reversal of 20101344433120 is 2133444310102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101344433127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3306139137 + ... + 3306145216.

It is an arithmetic number, because the mean of its divisors is an integer number (1041434785755).

Almost surely, 220101344433120 is an apocalyptic number.

20101344433120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101344433120 is an abundant number, since it is smaller than the sum of its proper divisors (29887525283120).

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

20101344433120 is a wasteful number, since it uses less digits than its factorization.

20101344433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612284387 (or 6612284379 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 20101344433120 its reverse (2133444310102), we get a palindrome (22234788743222).

The spelling of 20101344433120 in words is "twenty trillion, one hundred one billion, three hundred forty-four million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 6612284353 13224568706 26449137412 33061421765 52898274824 66122843530 105796549648 125633402707 132245687060 211593099296 251266805414 264491374120 502533610828 528982748240 628167013535 1005067221656 1057965496480 1256334027070 2010134443312 2512668054140 4020268886624 5025336108280 10050672216560 20101344433120