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10022013140 = 2252937467009
BaseRepresentation
bin10010101010101101…
…11100100011010100
3221212110012000110212
421111112330203110
5131011113410030
64334250304552
7503232464126
oct112526744324
927773160425
1010022013140
11428318a897
121b38428158
13c39426cb9
146b1053216
153d9caa595
hex2555bc8d4

10022013140 has 48 divisors (see below), whose sum is σ = 22360438800. Its totient is φ = 3765952512.

The previous prime is 10022013137. The next prime is 10022013151. The reversal of 10022013140 is 4131022001.

10022013140 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 8 ways, for example, as 537590596 + 9484422544 = 23186^2 + 97388^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 212045 + ... + 254964.

It is an arithmetic number, because the mean of its divisors is an integer number (465842475).

Almost surely, 210022013140 is an apocalyptic number.

10022013140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022013140 is an abundant number, since it is smaller than the sum of its proper divisors (12338425660).

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

10022013140 is a wasteful number, since it uses less digits than its factorization.

10022013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467084 (or 467082 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10022013140 its reverse (4131022001), we get a palindrome (14153035141).

The spelling of 10022013140 in words is "ten billion, twenty-two million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 4292 5365 10730 21460 467009 934018 1868036 2335045 4670090 9340180 13543261 17279333 27086522 34558666 54173044 67716305 69117332 86396665 135432610 172793330 270865220 345586660 501100657 1002201314 2004402628 2505503285 5011006570 10022013140