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10011232440 = 233251110723627
BaseRepresentation
bin10010101001011011…
…10100100010111000
3221211200220022010200
421110231310202320
5131000333414230
64333223242200
7503042033406
oct112455644270
927750808120
1010011232440
114278097120
121b348a9360
13c37120ca1
146ad848476
153d8d7b160
hex254b748b8

10011232440 has 192 divisors, whose sum is σ = 35827608960. Its totient is φ = 2404181760.

The previous prime is 10011232433. The next prime is 10011232447. The reversal of 10011232440 is 4423211001.

10011232440 is a `hidden beast` number, since 100 + 1 + 123 + 2 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (10011232433) and next prime (10011232447).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011232447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411907 + ... + 435533.

It is an arithmetic number, because the mean of its divisors is an integer number (186602130).

Almost surely, 210011232440 is an apocalyptic number.

10011232440 is a gapful number since it is divisible by the number (10) 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 10011232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17913804480).

10011232440 is an abundant number, since it is smaller than the sum of its proper divisors (25816376520).

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

10011232440 is a wasteful number, since it uses less digits than its factorization.

10011232440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23762 (or 23755 counting only the distinct ones).

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

Adding to 10011232440 its reverse (4423211001), we get a palindrome (14434443441).

The spelling of 10011232440 in words is "ten billion, eleven million, two hundred thirty-two thousand, four hundred forty".