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10140332240020 = 225507016612001
BaseRepresentation
bin1001001110001111101011…
…1001101010110010010100
31022220101222012002200012111
42103203322321222302110
52312114400023140040
633322223200000404
72064420612611353
oct223437271526224
938811865080174
1010140332240020
11325a544211a94
121179320900104
135872c97c5a38
14270b1a92399a
15128b8ede0dea
hex938fae6ac94

10140332240020 has 12 divisors (see below), whose sum is σ = 21294697704084. Its totient is φ = 4056132896000.

The previous prime is 10140332239997. The next prime is 10140332240021. The reversal of 10140332240020 is 2004223304101.

It can be written as a sum of positive squares in 2 ways, for example, as 6829577315716 + 3310754924304 = 2613346^2 + 1819548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10140332239973 and 10140332240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140332240021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253508305981 + ... + 253508306020.

It is an arithmetic number, because the mean of its divisors is an integer number (1774558142007).

Almost surely, 210140332240020 is an apocalyptic number.

10140332240020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140332240020 is an abundant number, since it is smaller than the sum of its proper divisors (11154365464064).

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

10140332240020 is a wasteful number, since it uses less digits than its factorization.

10140332240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507016612010 (or 507016612008 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10140332240020 its reverse (2004223304101), we get a palindrome (12144555544121).

The spelling of 10140332240020 in words is "ten trillion, one hundred forty billion, three hundred thirty-two million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 507016612001 1014033224002 2028066448004 2535083060005 5070166120010 10140332240020