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20331122113302 = 237111317375381773
BaseRepresentation
bin1001001111101101101010…
…10011111011101100010110
32122222122011212010200211220
410213312311103323230112
510131101114230111202
6111123553310111210
74165606105366410
oct447666523735426
978878155120756
1020331122113302
116529420446730
1223443837ab506
13b462a7acb6b0
145040628619b0
15253cd4921abc
hex127db54fbb16

20331122113302 has 256 divisors, whose sum is σ = 59369319733248. Its totient is φ = 4463856967680.

The previous prime is 20331122113261. The next prime is 20331122113307.

20331122113302 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331122113307) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1086888 + ... + 6468660.

It is an arithmetic number, because the mean of its divisors is an integer number (231911405208).

Almost surely, 220331122113302 is an apocalyptic number.

20331122113302 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 20331122113302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29684659866624).

20331122113302 is an abundant number, since it is smaller than the sum of its proper divisors (39038197619946).

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

20331122113302 is a wasteful number, since it uses less digits than its factorization.

20331122113302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381863.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2033112 and 2113302, that added together give a palindrome (4146414).

The spelling of 20331122113302 in words is "twenty trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred two".