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10022141204253 = 324735965997229
BaseRepresentation
bin1001000111010111011000…
…1010101001011100011101
31022111002220020210222010100
42101311312022221130131
52303200321122014003
633152035203531313
72053035000440223
oct221656612513435
938432806728110
1010022141204253
113214403484532
12115a436989b39
13579112319a09
14269107948b13
15125a73b64ba3
hex91d762a971d

10022141204253 has 24 divisors (see below), whose sum is σ = 14825617747200. Its totient is φ = 6521054104224.

The previous prime is 10022141204239. The next prime is 10022141204263. The reversal of 10022141204253 is 35240214122001.

10022141204253 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 214 + 1 + 20 + 425 + 3 = 666.

It is not a de Polignac number, because 10022141204253 - 24 = 10022141204237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022141204213) 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 23 ways as a sum of consecutive naturals, for example, 32846758 + ... + 33150471.

It is an arithmetic number, because the mean of its divisors is an integer number (617734072800).

Almost surely, 210022141204253 is an apocalyptic number.

It is an amenable number.

10022141204253 is a deficient number, since it is larger than the sum of its proper divisors (4803476542947).

10022141204253 is a wasteful number, since it uses less digits than its factorization.

10022141204253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65997641 (or 65997638 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10022141204253 its reverse (35240214122001), we get a palindrome (45262355326254).

The spelling of 10022141204253 in words is "ten trillion, twenty-two billion, one hundred forty-one million, two hundred four thousand, two hundred fifty-three".

Divisors: 1 3 9 47 141 359 423 1077 3231 16873 50619 151857 65997229 197991687 593975061 3101869763 9305609289 23693005211 27916827867 71079015633 213237046899 1113571244917 3340713734751 10022141204253