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10241315411520 = 2635891495411487
BaseRepresentation
bin1001010100000111110111…
…1101111001011001000000
31100021001121212202022012110
42111001331331321121000
52320243203221132040
633440443443455320
72104624225451154
oct225017575713100
940231555668173
1010241315411520
113299354617416
121194a03987540
135939a0bcc95b
1427597a391064
1512b6005d5980
hex9507df79640

10241315411520 has 448 divisors, whose sum is σ = 33185697408000. Its totient is φ = 2675450511360.

The previous prime is 10241315411489. The next prime is 10241315411543. The reversal of 10241315411520 is 2511451314201.

10241315411520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6887232217 + ... + 6887233703.

Almost surely, 210241315411520 is an apocalyptic number.

10241315411520 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 10241315411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16592848704000).

10241315411520 is an abundant number, since it is smaller than the sum of its proper divisors (22944381996480).

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

10241315411520 is a wasteful number, since it uses less digits than its factorization.

10241315411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 10241315411520 its reverse (2511451314201), we get a palindrome (12752766725721).

The spelling of 10241315411520 in words is "ten trillion, two hundred forty-one billion, three hundred fifteen million, four hundred eleven thousand, five hundred twenty".