Search a number
-
+
20102001012021 = 3732411912119919
BaseRepresentation
bin1001001001000010111001…
…01000010010110100110101
32122011201210000100210100210
410210201130220102310311
510113322344224341041
6110430422021500033
74143215216225445
oct444413450226465
978151700323323
1020102001012021
116450235571085
122307a9b571619
13b2a7c2533356
144d6d28d5c125
1524cd74ad3016
hex12485ca12d35

20102001012021 has 32 divisors (see below), whose sum is σ = 27285362311680. Its totient is φ = 13161559449600.

The previous prime is 20102001012011. The next prime is 20102001012031. The reversal of 20102001012021 is 12021010020102.

It is an interprime number because it is at equal distance from previous prime (20102001012011) and next prime (20102001012031).

It is not a de Polignac number, because 20102001012021 - 210 = 20102001010997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20102001011988 and 20102001012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102001012001) 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 31 ways as a sum of consecutive naturals, for example, 1009177300 + ... + 1009197218.

It is an arithmetic number, because the mean of its divisors is an integer number (852667572240).

Almost surely, 220102001012021 is an apocalyptic number.

It is an amenable number.

20102001012021 is a deficient number, since it is larger than the sum of its proper divisors (7183361299659).

20102001012021 is a wasteful number, since it uses less digits than its factorization.

20102001012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39357.

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

Adding to 20102001012021 its reverse (12021010020102), we get a palindrome (32123011032123).

The spelling of 20102001012021 in words is "twenty trillion, one hundred two billion, one million, twelve thousand, twenty-one".

Divisors: 1 3 73 219 241 723 17593 19121 19919 52779 57363 59757 1395833 1454087 4187499 4362261 4608161 4800479 13824483 14401437 336395753 350434967 380871199 1009187259 1051304901 1142613597 27803597527 83410792581 91789958959 275369876877 6700667004007 20102001012021