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20231101440 = 21032511167239
BaseRepresentation
bin10010110101110111…
…100001110000000000
31221012221101102211100
4102311313201300000
5312413130221230
613143302414400
71314226345014
oct226567416000
957187342740
1020231101440
118641a24a50
123b07431400
131ba5531354
14d9cc82544
157d61ba660
hex4b5de1c00

20231101440 has 528 divisors, whose sum is σ = 77252797440. Its totient is φ = 4854743040.

The previous prime is 20231101411. The next prime is 20231101463. The reversal of 20231101440 is 4410113202.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84648841 + ... + 84649079.

Almost surely, 220231101440 is an apocalyptic number.

20231101440 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 20231101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38626398720).

20231101440 is an abundant number, since it is smaller than the sum of its proper divisors (57021696000).

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

20231101440 is a wasteful number, since it uses less digits than its factorization.

20231101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20231101440 its reverse (4410113202), we get a palindrome (24641214642).

The spelling of 20231101440 in words is "twenty billion, two hundred thirty-one million, one hundred one thousand, four hundred forty".