Search a number
-
+
1000100022021 = 324312720348329
BaseRepresentation
bin11101000110110101001…
…10110100011100000101
310112121102200122001220100
432203122212310130011
5112341201101201041
62043234542154313
7132153260632302
oct16433246643405
93477380561810
101000100022021
1135615a431a21
121419ab582999
1373402c19379
14365958420a9
151b0354226b6
hexe8da9b4705

1000100022021 has 24 divisors (see below), whose sum is σ = 1489823329280. Its totient is φ = 646100110656.

The previous prime is 1000100021923. The next prime is 1000100022043. The reversal of 1000100022021 is 1202200010001.

1000100022021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-1000100022021 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000100021994 and 1000100022012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100022121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10125016 + ... + 10223313.

Almost surely, 21000100022021 is an apocalyptic number.

It is an amenable number.

1000100022021 is a deficient number, since it is larger than the sum of its proper divisors (489723307259).

1000100022021 is a wasteful number, since it uses less digits than its factorization.

1000100022021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20348505 (or 20348502 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000100022021 its reverse (1202200010001), we get a palindrome (2202300032022).

The spelling of 1000100022021 in words is "one trillion, one hundred million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 43 127 129 381 387 1143 5461 16383 49149 20348329 61044987 183134961 874978147 2584237783 2624934441 7752713349 7874803323 23258140047 111122224669 333366674007 1000100022021