Search a number
-
+
10210010202021 = 3717101511355381
BaseRepresentation
bin1001010010010011010000…
…0001111111111110100101
31100011001211011110212222210
42110210310001333332211
52314240100102431041
633414225224314033
72102435366533620
oct224446401777645
940131734425883
1010210010202021
11328704a648153
12118a927912919
13590a522c7656
1427424a86adb7
1512a8bc0dd016
hex9493407ffa5

10210010202021 has 64 divisors (see below), whose sum is σ = 16639949892096. Its totient is φ = 5435569152000.

The previous prime is 10210010202011. The next prime is 10210010202061. The reversal of 10210010202021 is 12020201001201.

It is not a de Polignac number, because 10210010202021 - 210 = 10210010200997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10210010201988 and 10210010202006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210010202011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 184331751 + ... + 184387131.

It is an arithmetic number, because the mean of its divisors is an integer number (259999217064).

Almost surely, 210210010202021 is an apocalyptic number.

It is an amenable number.

10210010202021 is a deficient number, since it is larger than the sum of its proper divisors (6429939690075).

10210010202021 is a wasteful number, since it uses less digits than its factorization.

10210010202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60622.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210010202021 its reverse (12020201001201), we get a palindrome (22230211203222).

The spelling of 10210010202021 in words is "ten trillion, two hundred ten billion, ten million, two hundred two thousand, twenty-one".

Divisors: 1 3 7 17 21 51 101 119 303 357 707 1717 2121 5113 5151 12019 15339 35791 36057 55381 86921 107373 166143 260763 387667 516413 608447 941477 1163001 1549239 1825341 2824431 3614891 5593481 6590339 8779021 10844673 16780443 19771017 26337063 39154367 61453147 95089177 117463101 184359441 283163053 285267531 665624239 849489159 1982141371 1996872717 4813771901 5946424113 14441315703 28599468353 33696403307 85798405059 101089209921 200196278471 486190962001 600588835413 1458572886003 3403336734007 10210010202021