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20430111000 = 23353131979349
BaseRepresentation
bin10011000001101110…
…101100000100011000
31221201210212011121210
4103001232230010120
5313320102023000
613215132103120
71322164035555
oct230156540430
957653764553
1020430111000
1187342a0862
123b62004aa0
131c0782c8a0
14dbb487a2c
157e88cb350
hex4c1bac118

20430111000 has 512 divisors, whose sum is σ = 73382400000. Its totient is φ = 4690483200.

The previous prime is 20430110993. The next prime is 20430111007. The reversal of 20430111000 is 11103402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20430110993) and next prime (20430111007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430111007) 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, 58538826 + ... + 58539174.

It is an arithmetic number, because the mean of its divisors is an integer number (143325000).

Almost surely, 220430111000 is an apocalyptic number.

20430111000 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 20430111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200000).

20430111000 is an abundant number, since it is smaller than the sum of its proper divisors (52952289000).

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

20430111000 is a wasteful number, since it uses less digits than its factorization.

20430111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20430111000 its reverse (11103402), we get a palindrome (20441214402).

The spelling of 20430111000 in words is "twenty billion, four hundred thirty million, one hundred eleven thousand".