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10501307040 = 2535731412459
BaseRepresentation
bin10011100011110110…
…10011101010100000
31000002212001200002210
421301323103222200
5133001313311130
64454011242120
7521142431340
oct116173235240
930085050083
1010501307040
1144a9794454
122050a49340
13cb480c463
14718978d20
15416dd35b0
hex271ed3aa0

10501307040 has 384 divisors, whose sum is σ = 39992279040. Its totient is φ = 2265292800.

The previous prime is 10501307029. The next prime is 10501307053. The reversal of 10501307040 is 4070310501.

10501307040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105013070402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10501306998 and 10501307016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4269331 + ... + 4271789.

It is an arithmetic number, because the mean of its divisors is an integer number (104146560).

Almost surely, 210501307040 is an apocalyptic number.

10501307040 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 10501307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19996139520).

10501307040 is an abundant number, since it is smaller than the sum of its proper divisors (29490972000).

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

10501307040 is a wasteful number, since it uses less digits than its factorization.

10501307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 10501307040 its reverse (4070310501), we get a palindrome (14571617541).

The spelling of 10501307040 in words is "ten billion, five hundred one million, three hundred seven thousand, forty".