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20342344032131 = 1129415334998387
BaseRepresentation
bin1001010000000010100100…
…01100001001111110000011
32200000201010221011020111012
410220001102030021332003
510131242110033012011
6111133051022511135
74166454151210052
oct450012214117603
980021127136435
1020342344032131
116533159978410
122346595a354ab
13b473759b5c54
14504808dbc399
1525423ebe9a8b
hex128052309f83

20342344032131 has 64 divisors (see below), whose sum is σ = 23970219840000. Its totient is φ = 17084254387200.

The previous prime is 20342344032103. The next prime is 20342344032203. The reversal of 20342344032131 is 13123044324302.

It is a de Polignac number, because none of the positive numbers 2k-20342344032131 is a prime.

It is a super-2 number, since 2×203423440321312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20342344022131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2425457120 + ... + 2425465506.

It is an arithmetic number, because the mean of its divisors is an integer number (374534685000).

Almost surely, 220342344032131 is an apocalyptic number.

20342344032131 is a deficient number, since it is larger than the sum of its proper divisors (3627875807869).

20342344032131 is a wasteful number, since it uses less digits than its factorization.

20342344032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12020.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 20342344032131 its reverse (13123044324302), we get a palindrome (33465388356433).

The spelling of 20342344032131 in words is "twenty trillion, three hundred forty-two billion, three hundred forty-four million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 29 41 53 319 451 583 1189 1537 2173 3499 8387 13079 16907 23903 38489 63017 92257 101471 143459 185447 243223 343867 444511 693187 1116181 1578049 2039917 2675453 3782537 4160311 4889621 5377963 7603327 9972143 12890819 18224951 29346113 45763421 59157593 83636597 109693573 141799009 200474461 220496483 322807243 528523579 851037277 1203190633 1555343989 2425461313 5813759369 9361410047 13235096963 17108783879 34892528357 45104975681 63769103549 383817811927 496154732491 701460139039 1849304002921 20342344032131