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10031002140 = 2235365945691
BaseRepresentation
bin10010101011110010…
…01111001000011100
3221220002002201001210
421111321033020130
5131020414032030
64335211104420
7503402053125
oct112571171034
927802081053
1010031002140
11428826a415
121b3b442110
13c3b253633
146b231304c
153da983bb0
hex255e4f21c

10031002140 has 48 divisors (see below), whose sum is σ = 28095096960. Its totient is φ = 2674144320.

The previous prime is 10031002097. The next prime is 10031002141. The reversal of 10031002140 is 4120013001.

It is a happy number.

10031002140 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-3 number, since 3×100310021403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031002141) 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 15 ways as a sum of consecutive naturals, for example, 196695 + ... + 242385.

It is an arithmetic number, because the mean of its divisors is an integer number (585314520).

Almost surely, 210031002140 is an apocalyptic number.

10031002140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031002140 is an abundant number, since it is smaller than the sum of its proper divisors (18064094820).

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

10031002140 is a wasteful number, since it uses less digits than its factorization.

10031002140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49362 (or 49360 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10031002140 its reverse (4120013001), we get a palindrome (14151015141).

The spelling of 10031002140 in words is "ten billion, thirty-one million, two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3659 7318 10977 14636 18295 21954 36590 43908 45691 54885 73180 91382 109770 137073 182764 219540 228455 274146 456910 548292 685365 913820 1370730 2741460 167183369 334366738 501550107 668733476 835916845 1003100214 1671833690 2006200428 2507750535 3343667380 5015501070 10031002140