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21004144101141 = 347972416372313
BaseRepresentation
bin1001100011010011010001…
…00011000100011100010101
32202100222100220202002012020
410301221220203010130111
510223112441342214031
6112401100503043353
74265333162035305
oct461515043043425
982328326662166
1021004144101141
11676889784a503
1224328b1440559
13b948b3cb5c16
1452886ac09605
15266575339096
hex131a688c4715

21004144101141 has 32 divisors (see below), whose sum is σ = 29016153374208. Its totient is φ = 13507262300160.

The previous prime is 21004144101091. The next prime is 21004144101191. The reversal of 21004144101141 is 14110144140012.

It is an interprime number because it is at equal distance from previous prime (21004144101091) and next prime (21004144101191).

It is not a de Polignac number, because 21004144101141 - 231 = 21001996617493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21004144101191) 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 31 ways as a sum of consecutive naturals, for example, 110001 + ... + 6482313.

It is an arithmetic number, because the mean of its divisors is an integer number (906754792944).

Almost surely, 221004144101141 is an apocalyptic number.

It is an amenable number.

21004144101141 is a deficient number, since it is larger than the sum of its proper divisors (8012009273067).

21004144101141 is a wasteful number, since it uses less digits than its factorization.

21004144101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372701.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 21004144101141 its reverse (14110144140012), we get a palindrome (35114288241153).

The spelling of 21004144101141 in words is "twenty-one trillion, four billion, one hundred forty-four million, one hundred one thousand, one hundred forty-one".

Divisors: 1 3 47 97 141 241 291 723 4559 11327 13677 23377 33981 70131 1098719 3296157 6372313 19116939 299498711 618114361 898496133 1535727433 1854343083 4607182299 29051374967 72179189351 87154124901 148965561001 216537568053 446896683003 7001381367047 21004144101141