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202122013 is a prime number
BaseRepresentation
bin11000000110000…
…10001100011101
3112002022212021111
430003002030131
5403220401023
632020102021
75003003002
oct1403021435
9462285244
10202122013
11a4102295
1257834911
1332b4b132
141cbb58a9
1512b2800d
hexc0c231d

202122013 has 2 divisors, whose sum is σ = 202122014. Its totient is φ = 202122012.

The previous prime is 202122007. The next prime is 202122029. The reversal of 202122013 is 310221202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171007929 + 31114084 = 13077^2 + 5578^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202122013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202121984 and 202122002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202122073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061006 + 101061007.

It is an arithmetic number, because the mean of its divisors is an integer number (101061007).

Almost surely, 2202122013 is an apocalyptic number.

It is an amenable number.

202122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122013 is an equidigital number, since it uses as much as digits as its factorization.

202122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 202122013 is about 14216.9621579295. The cubic root of 202122013 is about 586.8645435223.

Adding to 202122013 its reverse (310221202), we get a palindrome (512343215).

The spelling of 202122013 in words is "two hundred two million, one hundred twenty-two thousand, thirteen".