311430342240100 has 18 divisors (see below), whose sum is σ = 675803842661234. Its totient is φ = 124572136896000.

The previous prime is 311430342240097. The next prime is 311430342240103. The reversal of 311430342240100 is 1042243034113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311430342240097) and next prime (311430342240103).

It can be written as a sum of positive squares in 3 ways, for example, as 38942492313664 + 272487849926436 = 6240392^2 + 16507206^2 .

It is not an unprimeable number, because it can be changed into a prime (311430342240103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1557151711101 + ... + 1557151711300.

Almost surely, 2^{311430342240100} is an apocalyptic number.

It is an amenable number.

311430342240100 is an abundant number, since it is smaller than the sum of its proper divisors (364373500421134).

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

311430342240100 is a wasteful number, since it uses less digits than its factorization.

311430342240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114303422415 (or 3114303422408 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 311430342240100 its reverse (1042243034113), we get a palindrome (312472585274213).

The spelling of 311430342240100 in words is "three hundred eleven trillion, four hundred thirty billion, three hundred forty-two million, two hundred forty thousand, one hundred".