202142214311 has 16 divisors (see below), whose sum is σ = 208276489728. Its totient is φ = 196123956000.

The previous prime is 202142214299. The next prime is 202142214331. The reversal of 202142214311 is 113412241202.

202142214311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202142214311 - 2⁶ = 202142214247 is a prime.

It is a super-2 number, since 2×202142214311² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202142214331) 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 15 ways as a sum of consecutive naturals, for example, 1059041 + ... + 1235253.

It is an arithmetic number, because the mean of its divisors is an integer number (13017280608).

Almost surely, 2^202142214311 is an apocalyptic number.

202142214311 is a deficient number, since it is larger than the sum of its proper divisors (6134275417).

202142214311 is a wasteful number, since it uses less digits than its factorization.

202142214311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176542.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 202142214311 its reverse (113412241202), we get a palindrome (315554455513).

The spelling of 202142214311 in words is "two hundred two billion, one hundred forty-two million, two hundred fourteen thousand, three hundred eleven".