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20331323111040 = 2735149169741879
BaseRepresentation
bin1001001111101110000010…
…10010101011011010000000
32122222122200212100102220120
410213313001102223122000
510131102022204023130
6111124025250140240
74165614066010554
oct447670122533200
978878625312816
1020331323111040
116529513950267
12234441ab81680
13b4630a644b76
14504081423864
15253ce73c6910
hex127dc14ab680

20331323111040 has 256 divisors, whose sum is σ = 65281036320000. Its totient is φ = 5381997068288.

The previous prime is 20331323111027. The next prime is 20331323111041. The reversal of 20331323111040 is 4011132313302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20331323111040.

It is not an unprimeable number, because it can be changed into a prime (20331323111041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485456821 + ... + 485498699.

It is an arithmetic number, because the mean of its divisors is an integer number (255004048125).

Almost surely, 220331323111040 is an apocalyptic number.

20331323111040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20331323111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32640518160000).

20331323111040 is an abundant number, since it is smaller than the sum of its proper divisors (44949713208960).

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

20331323111040 is a wasteful number, since it uses less digits than its factorization.

20331323111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43747 (or 43735 counting only the distinct ones).

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

Adding to 20331323111040 its reverse (4011132313302), we get a palindrome (24342455424342).

The spelling of 20331323111040 in words is "twenty trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred eleven thousand, forty".