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11341314344130 = 23517192940359113
BaseRepresentation
bin1010010100001001101100…
…0000110100010011000010
31111011012220200210211202020
42211002123000310103002
52441304002433003010
640042043342302310
72250245225221611
oct245023300642302
944135820724666
1011341314344130
113682908309471
121332033287996
136436346c3124
142b2ccb65b878
1514a030e25470
hexa509b0344c2

11341314344130 has 128 divisors (see below), whose sum is σ = 31383247046400. Its totient is φ = 2603647033344.

The previous prime is 11341314344117. The next prime is 11341314344153. The reversal of 11341314344130 is 3144341314311.

It is a super-2 number, since 2×113413143441302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11341314344091 and 11341314344100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19898547 + ... + 20460566.

It is an arithmetic number, because the mean of its divisors is an integer number (245181617550).

Almost surely, 211341314344130 is an apocalyptic number.

11341314344130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11341314344130 is an abundant number, since it is smaller than the sum of its proper divisors (20041932702270).

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

11341314344130 is a wasteful number, since it uses less digits than its factorization.

11341314344130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40359188.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 11341314344130 its reverse (3144341314311), we get a palindrome (14485655658441).

The spelling of 11341314344130 in words is "eleven trillion, three hundred forty-one billion, three hundred fourteen million, three hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 29 30 34 38 51 57 58 85 87 95 102 114 145 170 174 190 255 285 290 323 435 493 510 551 570 646 870 969 986 1102 1479 1615 1653 1938 2465 2755 2958 3230 3306 4845 4930 5510 7395 8265 9367 9690 14790 16530 18734 28101 46835 56202 93670 140505 281010 40359113 80718226 121077339 201795565 242154678 403591130 605386695 686104921 766823147 1170414277 1210773390 1372209842 1533646294 2058314763 2300469441 2340828554 3430524605 3511242831 3834115735 4116629526 4600938882 5852071385 6861049210 7022485662 7668231470 10291573815 11502347205 11704142770 13035993499 17556214155 19897042709 20583147630 22237871263 23004694410 26071986998 35112428310 39107980497 39794085418 44475742526 59691128127 65179967495 66713613789 78215960994 99485213545 111189356315 119382256254 130359934990 133427227578 195539902485 198970427090 222378712630 298455640635 333568068945 378043811471 391079804970 596911281270 667136137890 756087622942 1134131434413 1890219057355 2268262868826 3780438114710 5670657172065 11341314344130