Search a number
-
+
212020102001 is a prime number
BaseRepresentation
bin1100010101110101100…
…0100000001101110001
3202021021001020010121102
43011131120200031301
511433204121231001
6241222314334145
721214025063111
oct3053530401561
9667231203542
10212020102001
1181a0a9027a4
123511112a355
1316cbb6a1676
14a394653041
1557ad865e6b
hex315d620371

212020102001 has 2 divisors, whose sum is σ = 212020102002. Its totient is φ = 212020102000.

The previous prime is 212020101973. The next prime is 212020102033. The reversal of 212020102001 is 100201020212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186731151376 + 25288950625 = 432124^2 + 159025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212020102001 is a prime.

It is not a weakly prime, because it can be changed into another prime (212020102051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106010051000 + 106010051001.

It is an arithmetic number, because the mean of its divisors is an integer number (106010051001).

Almost surely, 2212020102001 is an apocalyptic number.

It is an amenable number.

212020102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212020102001 is an equidigital number, since it uses as much as digits as its factorization.

212020102001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 212020102001 its reverse (100201020212), we get a palindrome (312221122213).

The spelling of 212020102001 in words is "two hundred twelve billion, twenty million, one hundred two thousand, one".