Search a number
-
+
20002012121 = 7213187716729
BaseRepresentation
bin10010101000001101…
…100111101111011001
31220121222022111100202
4102220031213233121
5311431003341441
613104440311545
71305445204100
oct225015475731
956558274322
1020002012121
118534683833
123a627725b5
131b69c30740
14d7a68b037
157c101719b
hex4a8367bd9

20002012121 has 24 divisors (see below), whose sum is σ = 25072314120. Its totient is φ = 15816390912.

The previous prime is 20002012111. The next prime is 20002012171. The reversal of 20002012121 is 12121020002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2216055625 + 17785956496 = 47075^2 + 133364^2 .

It is not a de Polignac number, because 20002012121 - 214 = 20001995737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20002012111) 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 23 ways as a sum of consecutive naturals, for example, 1187285 + ... + 1204013.

It is an arithmetic number, because the mean of its divisors is an integer number (1044679755).

Almost surely, 220002012121 is an apocalyptic number.

It is an amenable number.

20002012121 is a deficient number, since it is larger than the sum of its proper divisors (5070301999).

20002012121 is a wasteful number, since it uses less digits than its factorization.

20002012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18633 (or 18626 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20002012121 its reverse (12121020002), we get a palindrome (32123032123).

The spelling of 20002012121 in words is "twenty billion, two million, twelve thousand, one hundred twenty-one".

Divisors: 1 7 13 49 91 637 1877 13139 16729 24401 91973 117103 170807 217477 819721 1195649 1522339 10656373 31400333 219802331 408204329 1538616317 2857430303 20002012121