Search a number
-
+
21131350025121 = 337217939546931
BaseRepresentation
bin1001100111000000001101…
…00111001010001110100001
32202211010201010010120002000
410303200012213022032201
510232204001101300441
6112535335211314213
74310455360406400
oct463400647121641
982733633116060
1021131350025121
1168078342179a6
12245349244b969
13ba38a7055a1b
14530a97193637
15269a1cc332b6
hex1338069ca3a1

21131350025121 has 48 divisors (see below), whose sum is σ = 38559006089280. Its totient is φ = 11364759665280.

The previous prime is 21131350025117. The next prime is 21131350025143. The reversal of 21131350025121 is 12152005313112.

21131350025121 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 13 + 500 + 25 + 121 = 666.

It is not a de Polignac number, because 21131350025121 - 22 = 21131350025117 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 (21131350025921) 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 47 ways as a sum of consecutive naturals, for example, 469750975 + ... + 469795956.

It is an arithmetic number, because the mean of its divisors is an integer number (803312626860).

Almost surely, 221131350025121 is an apocalyptic number.

21131350025121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21131350025121 is a deficient number, since it is larger than the sum of its proper divisors (17427656064159).

21131350025121 is a wasteful number, since it uses less digits than its factorization.

21131350025121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939546971 (or 939546958 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 21131350025121 its reverse (12152005313112), we get a palindrome (33283355338233).

The spelling of 21131350025121 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred fifty million, twenty-five thousand, one hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 119 147 153 189 357 441 459 833 1071 1323 2499 3213 7497 22491 939546931 2818640793 6576828517 8455922379 15972297827 19730485551 25367767137 46037799619 47916893481 59191456653 111806084789 138113398857 143750680443 177574369959 335418254367 414340196571 431252041329 782642593523 1006254763101 1243020589713 2347927780569 3018764289303 7043783341707 21131350025121