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213202432021 is a prime number
BaseRepresentation
bin1100011010001111011…
…0101111000000010101
3202101022102222201111011
43012203312233000111
511443114310311041
6241535512012221
721255232525315
oct3064366570025
9671272881434
10213202432021
118246723a847
12353a1091071
131714961a127
14a4676a3445
15582c560e81
hex31a3daf015

213202432021 has 2 divisors, whose sum is σ = 213202432022. Its totient is φ = 213202432020.

The previous prime is 213202432013. The next prime is 213202432109. The reversal of 213202432021 is 120234202312.

213202432021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205122939025 + 8079492996 = 452905^2 + 89886^2 .

It is a cyclic number.

It is not a de Polignac number, because 213202432021 - 23 = 213202432013 is a prime.

It is a super-2 number, since 2×2132024320212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213202431983 and 213202432001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213202432321) 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 as a sum of consecutive naturals, namely, 106601216010 + 106601216011.

It is an arithmetic number, because the mean of its divisors is an integer number (106601216011).

Almost surely, 2213202432021 is an apocalyptic number.

It is an amenable number.

213202432021 is a deficient number, since it is larger than the sum of its proper divisors (1).

213202432021 is an equidigital number, since it uses as much as digits as its factorization.

213202432021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 213202432021 its reverse (120234202312), we get a palindrome (333436634333).

The spelling of 213202432021 in words is "two hundred thirteen billion, two hundred two million, four hundred thirty-two thousand, twenty-one".