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10134322440242 = 27111375719313463
BaseRepresentation
bin1001001101111001010010…
…1100000110100000110010
31022212211110100121012202112
42103132110230012200302
52312020043021041432
633315350553045322
72064115646266250
oct223362454064062
938784410535675
1010134322440242
113257a3a8a8510
1211781240b6842
1358687c6a85b0
1427070a6c35d0
1512893c4be7b2
hex93794b06832

10134322440242 has 128 divisors (see below), whose sum is σ = 20453834354688. Its totient is φ = 3636961171200.

The previous prime is 10134322440217. The next prime is 10134322440247. The reversal of 10134322440242 is 24204422343101.

It is a happy number.

It is a super-2 number, since 2×101343224402422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10134322440199 and 10134322440208.

It is not an unprimeable number, because it can be changed into a prime (10134322440247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2926455803 + ... + 2926459265.

It is an arithmetic number, because the mean of its divisors is an integer number (159795580896).

Almost surely, 210134322440242 is an apocalyptic number.

10134322440242 is an abundant number, since it is smaller than the sum of its proper divisors (10319511914446).

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

10134322440242 is a wasteful number, since it uses less digits than its factorization.

10134322440242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10134322440242 its reverse (24204422343101), we get a palindrome (34338744783343).

The spelling of 10134322440242 in words is "ten trillion, one hundred thirty-four billion, three hundred twenty-two million, four hundred forty thousand, two hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 757 1001 1514 1931 2002 3463 3862 5299 6926 8327 9841 10598 13517 16654 19682 21241 24241 25103 27034 38093 42482 45019 48482 50206 58289 68887 76186 90038 108251 116578 137774 148687 175721 216502 266651 276133 297374 315133 351442 495209 533302 552266 630266 757757 990418 1461767 1515514 1932931 2621491 2923534 3466463 3865862 5242982 6687053 6932926 10232369 13374106 16079437 18350437 19002971 20464738 28836401 32158874 34079383 36700874 38005942 46809371 57672802 68158766 73557583 86931689 93618742 112556059 133020797 147115166 173863378 201854807 209032681 225112118 238555681 266041594 374873213 403709614 418065362 477111362 514903081 608521823 749746426 956248579 1029806162 1217043646 1463228767 1912497158 2624112491 2926457534 5062099121 5248224982 6693740053 10124198242 13387480106 35434693847 55683090331 65807288573 70869387694 111366180662 131614577146 389781632317 460651020011 723880174303 779563264634 921302040022 1447760348606 5067161220121 10134322440242