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20142434012121 = 352353263258551
BaseRepresentation
bin1001001010001110001101…
…00111111100101111011001
32122022121010212012000100000
410211013012213330233121
510120003201101341441
6110501150105203213
74146146202113301
oct445070647745731
978277125160300
1020142434012121
1164663a3984543
1223138a4490509
13b3156720c895
144d8c82c40601
1524de3e5eb2b6
hex1251c69fcbd9

20142434012121 has 96 divisors (see below), whose sum is σ = 32200173637632. Its totient is φ = 12554137252800.

The previous prime is 20142434012101. The next prime is 20142434012149. The reversal of 20142434012121 is 12121043424102.

20142434012121 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 2 + 43 + 401 + 212 + 1 = 666.

It is not a de Polignac number, because 20142434012121 - 217 = 20142433881049 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (20142434012101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77775796 + ... + 78034346.

It is an arithmetic number, because the mean of its divisors is an integer number (335418475392).

Almost surely, 220142434012121 is an apocalyptic number.

It is an amenable number.

20142434012121 is a deficient number, since it is larger than the sum of its proper divisors (12057739625511).

20142434012121 is a wasteful number, since it uses less digits than its factorization.

20142434012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258905 (or 258893 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20142434012121 its reverse (12121043424102), we get a palindrome (32263477436223).

The spelling of 20142434012121 in words is "twenty trillion, one hundred forty-two billion, four hundred thirty-four million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 23 27 53 69 81 159 207 243 263 477 621 789 1219 1431 1863 2367 3657 4293 5589 6049 7101 10971 12879 13939 18147 21303 32913 41817 54441 63909 98739 125451 163323 258551 296217 320597 376353 489969 775653 961791 1129059 1469907 2326959 2885373 3387177 5946673 6980877 8656119 13703203 17840019 20942631 25968357 41109609 53520057 62827893 67998913 77905071 123328827 160560171 203996739 315173669 369986481 481680513 611990217 945521007 1109959443 1445041539 1563974999 1835970651 2836563021 3329878329 3603942389 4691924997 5507911953 8509689063 10811827167 14075774991 16523735859 25529067189 32435481501 42227324973 76587201567 82890674947 97306444503 126681974919 248672024841 291919333509 380045924757 746016074523 875758000527 2238048223569 6714144670707 20142434012121