205311249140 has 12 divisors (see below), whose sum is σ = 431153623236. Its totient is φ = 82124499648.

The previous prime is 205311249139. The next prime is 205311249149. The reversal of 205311249140 is 41942113502.

205311249140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52215906064 + 153095343076 = 228508^2 + 391274^2 .

It is a super-3 number, since 3×205311249140³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205311249097 and 205311249106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205311249149) 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 3 ways as a sum of consecutive naturals, for example, 5132781209 + ... + 5132781248.

It is an arithmetic number, because the mean of its divisors is an integer number (35929468603).

Almost surely, 2^205311249140 is an apocalyptic number.

205311249140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205311249140 is an abundant number, since it is smaller than the sum of its proper divisors (225842374096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205311249140 is a wasteful number, since it uses less digits than its factorization.

205311249140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265562466 (or 10265562464 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 205311249140 in words is "two hundred five billion, three hundred eleven million, two hundred forty-nine thousand, one hundred forty".