Search a number
-
+
10400124130 = 2511232296163
BaseRepresentation
bin10011010111110010…
…10100110011100010
3222211210200001020121
421223321110303202
5132244412433010
64435554430454
7515503411414
oct115371246342
928753601217
1010400124130
114457665210
122022b9242a
13c99873406
1470935a9b4
1540d0983da
hex26be54ce2

10400124130 has 96 divisors (see below), whose sum is σ = 22088324160. Its totient is φ = 3492128640.

The previous prime is 10400124127. The next prime is 10400124131. The reversal of 10400124130 is 3142100401.

It is not an unprimeable number, because it can be changed into a prime (10400124131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1684429 + ... + 1690591.

It is an arithmetic number, because the mean of its divisors is an integer number (230086710).

Almost surely, 210400124130 is an apocalyptic number.

10400124130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400124130 is an abundant number, since it is smaller than the sum of its proper divisors (11688200030).

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

10400124130 is a wasteful number, since it uses less digits than its factorization.

10400124130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10400124130 its reverse (3142100401), we get a palindrome (13542224531).

The spelling of 10400124130 in words is "ten billion, four hundred million, one hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 23 29 46 55 58 110 115 145 230 253 290 319 506 529 638 667 1058 1265 1334 1595 2530 2645 3190 3335 5290 5819 6163 6670 7337 11638 12326 14674 15341 29095 30682 30815 36685 58190 61630 67793 73370 76705 135586 141749 153410 168751 178727 283498 337502 338965 357454 677930 708745 843755 893635 1417490 1559239 1687510 1787270 1965997 3118478 3260227 3931994 4110721 6520454 7796195 8221442 9829985 15592390 16301135 19659970 20553605 32602270 35862497 41107210 45217931 71724994 90435862 94546583 179312485 189093166 226089655 358624970 452179310 472732915 945465830 1040012413 2080024826 5200062065 10400124130