Search a number
-
+
1024130040210 = 233531122357233
BaseRepresentation
bin11101110011100101110…
…10000100000110010010
310121220110101100110211000
432321302322010012102
5113234404242241320
62102251233002430
7133663616465334
oct16716272040622
93556411313730
101024130040210
11365370788292
121465970b3416
13757624c5a44
14377d5053454
151b98ed92c90
hexee72e84192

1024130040210 has 64 divisors (see below), whose sum is σ = 2819110671360. Its totient is φ = 264291621120.

The previous prime is 1024130040187. The next prime is 1024130040223. The reversal of 1024130040210 is 120400314201.

1024130040210 is a `hidden beast` number, since 1 + 0 + 2 + 413 + 0 + 0 + 40 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61170247 + ... + 61186986.

It is an arithmetic number, because the mean of its divisors is an integer number (44048604240).

Almost surely, 21024130040210 is an apocalyptic number.

1024130040210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1024130040210 is an abundant number, since it is smaller than the sum of its proper divisors (1794980631150).

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

1024130040210 is a wasteful number, since it uses less digits than its factorization.

1024130040210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122357280 (or 122357274 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1024130040210 its reverse (120400314201), we get a palindrome (1144530354411).

The spelling of 1024130040210 in words is "one trillion, twenty-four billion, one hundred thirty million, forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 122357233 244714466 367071699 611786165 734143398 1101215097 1223572330 1835358495 2202430194 3303645291 3670716990 3793074223 5506075485 6607290582 7586148446 11012150970 11379222669 16518226455 18965371115 22758445338 33036452910 34137668007 37930742230 56896113345 68275336014 102413004021 113792226690 170688340035 204826008042 341376680070 512065020105 1024130040210