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10241324340 = 22351389151977
BaseRepresentation
bin10011000100110111…
…00011010100110100
3222102201212011212220
421202123203110310
5131433234334330
64412123042340
7511534551312
oct114233432464
928381764786
1010241324340
114385a62615
121b999703b0
13c729b3040
146d22210b2
153ee17b710
hex2626e3534

10241324340 has 192 divisors, whose sum is σ = 31467502080. Its totient is φ = 2473574400.

The previous prime is 10241324281. The next prime is 10241324363. The reversal of 10241324340 is 4342314201.

It is a self number, because there is not a number n which added to its sum of digits gives 10241324340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10481932 + ... + 10482908.

It is an arithmetic number, because the mean of its divisors is an integer number (163893240).

Almost surely, 210241324340 is an apocalyptic number.

10241324340 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 10241324340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733751040).

10241324340 is an abundant number, since it is smaller than the sum of its proper divisors (21226177740).

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

10241324340 is a wasteful number, since it uses less digits than its factorization.

10241324340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10241324340 its reverse (4342314201), we get a palindrome (14583638541).

The spelling of 10241324340 in words is "ten billion, two hundred forty-one million, three hundred twenty-four thousand, three hundred forty".