20110311223002 has 768 divisors, whose sum is σ = 64050569856000. Its totient is φ = 4385375354880.

The previous prime is 20110311222971. The next prime is 20110311223021. The reversal of 20110311223002 is 20032211301102.

20110311223002 is a `hidden beast` number, since 20 + 1 + 10 + 311 + 22 + 300 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1688659024 + ... + 1688670932.

It is an arithmetic number, because the mean of its divisors is an integer number (83399179500).

Almost surely, 2^{20110311223002} is an apocalyptic number.

20110311223002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110311223002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32025284928000).

20110311223002 is an abundant number, since it is smaller than the sum of its proper divisors (43940258632998).

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

20110311223002 is a wasteful number, since it uses less digits than its factorization.

20110311223002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12151 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20110311223002 its reverse (20032211301102), we get a palindrome (40142522524104).

The spelling of 20110311223002 in words is "twenty trillion, one hundred ten billion, three hundred eleven million, two hundred twenty-three thousand, two".