Search a number
-
+
20211240042 = 234769125793
BaseRepresentation
bin10010110100101011…
…110000110001101010
31221011120000101010000
4102310223300301222
5312343034140132
613141313003430
71313565464040
oct226453606152
957146011100
1020211240042
118631799874
123b00853576
131ba1399046
14d9a392390
157d459587c
hex4b4af0c6a

20211240042 has 80 divisors (see below), whose sum is σ = 51834796992. Its totient is φ = 5766059520.

The previous prime is 20211240037. The next prime is 20211240061. The reversal of 20211240042 is 24004211202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20211239997 and 20211240024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 770698 + ... + 796490.

Almost surely, 220211240042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211240042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25917398496).

20211240042 is an abundant number, since it is smaller than the sum of its proper divisors (31623556950).

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

20211240042 is a wasteful number, since it uses less digits than its factorization.

20211240042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26505 (or 26496 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20211240042 its reverse (24004211202), we get a palindrome (44215451244).

The spelling of 20211240042 in words is "twenty billion, two hundred eleven million, two hundred forty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 691 1134 1382 2073 4146 4837 6219 9674 12438 14511 18657 25793 29022 37314 43533 51586 55971 77379 87066 111942 130599 154758 180551 232137 261198 361102 391797 464274 541653 696411 783594 1083306 1392822 1624959 2089233 3249918 4178466 4874877 9749754 14624631 17822963 29249262 35645926 53468889 106937778 124760741 160406667 249521482 320813334 374282223 481220001 748564446 962440002 1122846669 1443660003 2245693338 2887320006 3368540007 6737080014 10105620021 20211240042