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10404142112130 = 2351347896377549
BaseRepresentation
bin1001011101100110011100…
…1100011101110110000010
31100211121220112220201110120
42113121213030131312002
52330430140340042010
634043332533041110
72122450224540054
oct227314714356602
940747815821416
1010404142112130
11335140aa94588
121200486186196
135a614c984a90
1427d7c54798d4
151309802d3e70
hex9766731dd82

10404142112130 has 128 divisors (see below), whose sum is σ = 27771424128000. Its totient is φ = 2478366173184.

The previous prime is 10404142112093. The next prime is 10404142112131. The reversal of 10404142112130 is 3121124140401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10404142112130.

It is not an unprimeable number, because it can be changed into a prime (10404142112131) 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 63 ways as a sum of consecutive naturals, for example, 1557405 + ... + 4820144.

It is an arithmetic number, because the mean of its divisors is an integer number (216964251000).

Almost surely, 210404142112130 is an apocalyptic number.

10404142112130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10404142112130 is an abundant number, since it is smaller than the sum of its proper divisors (17367282015870).

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

10404142112130 is a wasteful number, since it uses less digits than its factorization.

10404142112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377708.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10404142112130 its reverse (3121124140401), we get a palindrome (13525266252531).

The spelling of 10404142112130 in words is "ten trillion, four hundred four billion, one hundred forty-two million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 89 94 130 141 178 195 235 267 282 390 445 470 534 611 705 890 1157 1222 1335 1410 1833 2314 2670 3055 3471 3666 4183 5785 6110 6942 8366 9165 11570 12549 17355 18330 20915 25098 34710 41830 54379 62745 108758 125490 163137 271895 326274 543790 815685 1631370 6377549 12755098 19132647 31887745 38265294 63775490 82908137 95663235 165816274 191326470 248724411 299744803 414540685 497448822 567601861 599489606 829081370 899234409 1135203722 1243622055 1498724015 1702805583 1798468818 2487244110 2838009305 2997448030 3405611166 3896682439 4496172045 5676018610 7378824193 7793364878 8514027915 8992344090 11690047317 14757648386 17028055830 19483412195 22136472579 23380094634 26677287467 36894120965 38966824390 44272945158 53354574934 58450236585 73788241930 80031862401 110682362895 116900473170 133386437335 160063724802 221364725790 266772874670 346804737071 400159312005 693609474142 800318624010 1040414211213 1734023685355 2080828422426 3468047370710 5202071056065 10404142112130