Search a number
-
+
1000020201021 = 33192794912907
BaseRepresentation
bin11101000110101011101…
…10010100111000111101
310112121020010102202002000
432203111312110320331
5112341020132413041
62043223011252513
7132151301313102
oct16432566247075
93477203382060
101000020201021
11356119373256
121419888aa139
13733bc51c5ca
1436588dc4aa9
151b02d406bb6
hexe8d5d94e3d

1000020201021 has 48 divisors (see below), whose sum is σ = 1563907464000. Its totient is φ = 631463322528.

The previous prime is 1000020201017. The next prime is 1000020201029. The reversal of 1000020201021 is 1201020200001.

It is not a de Polignac number, because 1000020201021 - 22 = 1000020201017 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 = 1000020200994 and 1000020201012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020201029) 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 47 ways as a sum of consecutive naturals, for example, 77472450 + ... + 77485356.

It is an arithmetic number, because the mean of its divisors is an integer number (32581405500).

Almost surely, 21000020201021 is an apocalyptic number.

It is an amenable number.

1000020201021 is a deficient number, since it is larger than the sum of its proper divisors (563887262979).

1000020201021 is a wasteful number, since it uses less digits than its factorization.

1000020201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20903 (or 20878 counting only the distinct ones).

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

Adding to 1000020201021 its reverse (1201020200001), we get a palindrome (2201040401022).

The spelling of 1000020201021 in words is "one trillion, twenty million, two hundred one thousand, twenty-one".

Divisors: 1 3 9 19 27 57 171 361 513 1083 3249 7949 9747 12907 23847 38721 71541 116163 151031 214623 245233 348489 453093 735699 1359279 2207097 2869589 4077837 4659427 6621291 8608767 13978281 25826301 41934843 77478903 102597743 125804529 307793229 923379687 1949357117 2770139061 5848071351 17544214053 37037785223 52632642159 111113355669 333340067007 1000020201021