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10110131540 = 2251729735681
BaseRepresentation
bin10010110101001110…
…00101110101010100
3222002120222220012022
421122213011311110
5131201143202130
64351115112312
7505352462105
oct113247056524
928076886168
1010110131540
1143189a6513
121b61a42698
13c5176a672
146bca303ac
153e28b47e5
hex25a9c5d54

10110131540 has 24 divisors (see below), whose sum is σ = 22480175592. Its totient is φ = 3806167040.

The previous prime is 10110131539. The next prime is 10110131543. The reversal of 10110131540 is 4513101101.

10110131540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4224480016 + 5885651524 = 64996^2 + 76718^2 .

It is a super-2 number, since 2×101101315402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110131543) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14867501 + ... + 14868180.

It is an arithmetic number, because the mean of its divisors is an integer number (936673983).

Almost surely, 210110131540 is an apocalyptic number.

10110131540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110131540 is an abundant number, since it is smaller than the sum of its proper divisors (12370044052).

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

10110131540 is a wasteful number, since it uses less digits than its factorization.

10110131540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29735707 (or 29735705 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 10110131540 its reverse (4513101101), we get a palindrome (14623232641).

The spelling of 10110131540 in words is "ten billion, one hundred ten million, one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 29735681 59471362 118942724 148678405 297356810 505506577 594713620 1011013154 2022026308 2527532885 5055065770 10110131540