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20311342004430 = 23351757723813221
BaseRepresentation
bin1001001111001000110100…
…10100110011100011001110
32122220202010100101001112000
410213210122110303203032
510130240112023120210
6111110522433453130
74164305663263461
oct447443224634316
978822110331460
1020311342004430
116520aa0056114
1223405834111a6
13b44474b53a69
145031078592d8
1525352813dac0
hex12791a5338ce

20311342004430 has 256 divisors, whose sum is σ = 57491035787520. Its totient is φ = 5085197107200.

The previous prime is 20311342004399. The next prime is 20311342004431. The reversal of 20311342004430 is 3440024311302.

20311342004430 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 13 + 4 + 200 + 443 + 0 = 666.

It is a super-2 number, since 2×203113420044302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20311342004394 and 20311342004403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311342004431) 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, 6305910220 + ... + 6305913440.

It is an arithmetic number, because the mean of its divisors is an integer number (224574358545).

Almost surely, 220311342004430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311342004430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28745517893760).

20311342004430 is an abundant number, since it is smaller than the sum of its proper divisors (37179693783090).

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

20311342004430 is a wasteful number, since it uses less digits than its factorization.

20311342004430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20311342004430 its reverse (3440024311302), we get a palindrome (23751366315732).

The spelling of 20311342004430 in words is "twenty trillion, three hundred eleven billion, three hundred forty-two million, four thousand, four hundred thirty".