302434120100 has 108 divisors (see below), whose sum is σ = 764629068420. Its totient is φ = 103528857600.

The previous prime is 302434120091. The next prime is 302434120139. The reversal of 302434120100 is 1021434203.

It can be written as a sum of positive squares in 6 ways, for example, as 5860208704 + 296573911396 = 76552^2 + 544586^2 .

It is a super-2 number, since 2×302434120100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3092756 + ... + 3189044.

Almost surely, 2^302434120100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302434120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382314534210).

302434120100 is an abundant number, since it is smaller than the sum of its proper divisors (462194948320).

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

302434120100 is a wasteful number, since it uses less digits than its factorization.

302434120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96958 (or 96944 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 302434120100 its reverse (1021434203), we get a palindrome (303455554303).

The spelling of 302434120100 in words is "three hundred two billion, four hundred thirty-four million, one hundred twenty thousand, one hundred".