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21010450005135 = 335192431116241
BaseRepresentation
bin1001100011011111000000…
…11010001011110010001111
32202101120122101102012021000
410301233200122023302033
510223213400200131020
6112404022324311343
74265645352243123
oct461574032136217
982346571365230
1021010450005135
116770533317508
122433b71242553
13b9537a568b66
14528ca84c7583
152667e3c4a090
hex131be068bc8f

21010450005135 has 48 divisors (see below), whose sum is σ = 39421269168480. Its totient is φ = 10615806293760.

The previous prime is 21010450005113. The next prime is 21010450005313. The reversal of 21010450005135 is 53150005401012.

21010450005135 is a `hidden beast` number, since 2 + 1 + 0 + 104 + 500 + 0 + 51 + 3 + 5 = 666.

It is not a de Polignac number, because 21010450005135 - 212 = 21010450001039 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 21010450005099 and 21010450005108.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 215509386 + ... + 215606855.

It is an arithmetic number, because the mean of its divisors is an integer number (821276441010).

Almost surely, 221010450005135 is an apocalyptic number.

21010450005135 is a deficient number, since it is larger than the sum of its proper divisors (18410819163345).

21010450005135 is a wasteful number, since it uses less digits than its factorization.

21010450005135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431116293 (or 431116268 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 21010450005135 its reverse (53150005401012), we get a palindrome (74160455406147).

The spelling of 21010450005135 in words is "twenty-one trillion, ten billion, four hundred fifty million, five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 361 513 855 1083 1805 2565 3249 5415 9747 16245 48735 431116241 1293348723 2155581205 3880046169 6466743615 8191208579 11640138507 19400230845 24573625737 40956042895 58200692535 73720877211 122868128685 155632963001 221162631633 368604386055 466898889003 778164815005 1105813158165 1400696667009 2334494445015 4202090001027 7003483335045 21010450005135