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20422224111141 = 334122781269869
BaseRepresentation
bin1001010010010111010110…
…11010011110011000100101
32200022100022220121200211000
410221023223122132120211
510134044203333024031
6111233501254103513
74205312515526556
oct451135332363045
980270286550730
1020422224111141
116564020117036
122359b6964ab99
13b51a66020aa8
14508625c5c32d
152563678cb3e6
hex1292eb69e625

20422224111141 has 32 divisors (see below), whose sum is σ = 31129611004800. Its totient is φ = 13224232920960.

The previous prime is 20422224111073. The next prime is 20422224111161. The reversal of 20422224111141 is 14111142222402.

20422224111141 is a `hidden beast` number, since 2 + 0 + 422 + 224 + 1 + 1 + 1 + 14 + 1 = 666.

It is not a de Polignac number, because 20422224111141 - 217 = 20422223980069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20422224111161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40383646 + ... + 40886223.

It is an arithmetic number, because the mean of its divisors is an integer number (972800343900).

Almost surely, 220422224111141 is an apocalyptic number.

It is an amenable number.

20422224111141 is a deficient number, since it is larger than the sum of its proper divisors (10707386893659).

20422224111141 is a wasteful number, since it uses less digits than its factorization.

20422224111141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81270146 (or 81270140 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 20422224111141 its reverse (14111142222402), we get a palindrome (34533366333543).

The spelling of 20422224111141 in words is "twenty trillion, four hundred twenty-two billion, two hundred twenty-four million, one hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 27 41 123 227 369 681 1107 2043 6129 9307 27921 83763 251289 81269869 243809607 731428821 2194286463 3332064629 9996193887 18448260263 29988581661 55344780789 89965744983 166034342367 498103027101 756378670783 2269136012349 6807408037047 20422224111141