Search a number
-
+
10020001110021 = 337193953288241
BaseRepresentation
bin1001000111001111011010…
…0110110101100000000101
31022110220101002211220202000
42101303312212311200011
52303131430241010041
633151042554135513
72052630653103360
oct221636646654005
938426332756660
1010020001110021
113213505451011
121159b3a121599
13578b60b31476
14268d836230d7
1512599ad2cbb6
hex91cf69b5805

10020001110021 has 64 divisors (see below), whose sum is σ = 17070936445440. Its totient is φ = 5690051297280.

The previous prime is 10020001110011. The next prime is 10020001110059. The reversal of 10020001110021 is 12001110002001.

It is a happy number.

It is not a de Polignac number, because 10020001110021 - 29 = 10020001109509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020001109985 and 10020001110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020001110011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34618461 + ... + 34906701.

It is an arithmetic number, because the mean of its divisors is an integer number (266733381960).

Almost surely, 210020001110021 is an apocalyptic number.

It is an amenable number.

10020001110021 is a deficient number, since it is larger than the sum of its proper divisors (7050935335419).

10020001110021 is a wasteful number, since it uses less digits than its factorization.

10020001110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289403 (or 289397 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10020001110021 its reverse (12001110002001), we get a palindrome (22021111112022).

The spelling of 10020001110021 in words is "ten trillion, twenty billion, one million, one hundred ten thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 189 193 579 953 1351 1737 2859 4053 5211 6671 8577 12159 20013 25731 36477 60039 180117 183929 288241 551787 864723 1287503 1655361 2017687 2594169 3862509 4966083 6053061 7782507 11587527 18159183 34762581 54477549 55630513 166891539 274693673 389413591 500674617 824081019 1168240773 1502023851 1922855711 2472243057 3504722319 5768567133 7416729171 10514166957 17305701399 51917104197 53015878889 159047636667 371111152223 477142910001 1113333456669 1431428730003 3340000370007 10020001110021