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206420231142 = 233371039711033
BaseRepresentation
bin1100000000111110011…
…0101100001111100110
3201201210210002012221000
43000033212230033212
511340222034344032
6234454513534130
720625200005026
oct3001746541746
9651723065830
10206420231142
117a5a6925954
1234009874346
1316608490c08
149dc2a3da86
155581e19e7c
hex300f9ac3e6

206420231142 has 128 divisors (see below), whose sum is σ = 476633963520. Its totient is φ = 66164739840.

The previous prime is 206420231141. The next prime is 206420231153. The reversal of 206420231142 is 241132024602.

206420231142 is a `hidden beast` number, since 2 + 0 + 6 + 420 + 231 + 1 + 4 + 2 = 666.

206420231142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206420231141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199825458 + ... + 199826490.

It is an arithmetic number, because the mean of its divisors is an integer number (3723702840).

Almost surely, 2206420231142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206420231142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238316981760).

206420231142 is an abundant number, since it is smaller than the sum of its proper divisors (270213732378).

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

206420231142 is a wasteful number, since it uses less digits than its factorization.

206420231142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2149 counting only the distinct ones).

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

Adding to 206420231142 its reverse (241132024602), we get a palindrome (447552255744).

The spelling of 206420231142 in words is "two hundred six billion, four hundred twenty million, two hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 103 111 206 222 309 333 618 666 927 971 999 1033 1854 1942 1998 2066 2781 2913 3099 3811 5562 5826 6198 7622 8739 9297 11433 17478 18594 22866 26217 27891 34299 35927 38221 52434 55782 68598 71854 76442 100013 102897 106399 107781 114663 200026 205794 212798 215562 229326 300039 319197 323343 343989 600078 638394 646686 687978 900117 957591 970029 1003043 1031967 1800234 1915182 1940058 2006086 2063934 2700351 2872773 3009129 3700481 3936763 5400702 5745546 6018258 7400962 7873526 9027387 11101443 11810289 18054774 22202886 23620578 27082161 33304329 35430867 37112591 54164322 66608658 70861734 74225182 99912987 103313429 106292601 111337773 199825974 206626858 212585202 222675546 309940287 334013319 619880574 668026638 929820861 1002039957 1859641722 2004079914 2789462583 3822596873 5578925166 7645193746 11467790619 22935581238 34403371857 68806743714 103210115571 206420231142