10024350030 has 192 divisors, whose sum is σ = 28562227200. Its totient is φ = 2429844480.

The previous prime is 10024350029. The next prime is 10024350031. The reversal of 10024350030 is 3005342001.

It is an interprime number because it is at equal distance from previous prime (10024350029) and next prime (10024350031).

It is a super-2 number, since 2×10024350030² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10024349985 and 10024350012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024350031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6731526 + ... + 6733014.

It is an arithmetic number, because the mean of its divisors is an integer number (148761600).

Almost surely, 2^10024350030 is an apocalyptic number.

10024350030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024350030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14281113600).

10024350030 is an abundant number, since it is smaller than the sum of its proper divisors (18537877170).

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

10024350030 is a wasteful number, since it uses less digits than its factorization.

10024350030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10024350030 its reverse (3005342001), we get a palindrome (13029692031).

The spelling of 10024350030 in words is "ten billion, twenty-four million, three hundred fifty thousand, thirty".