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12243113341410 = 23571719180497027
BaseRepresentation
bin1011001000101001001001…
…1010111111000111100010
31121100102121121201110022110
42302022102122333013202
53101042344003411120
642012224132420150
72402351522222310
oct262122232770742
947312547643273
1012243113341410
1139a0303338576
121458969a77656
136aa69caaaa63
143047d99390b0
1516371135d2e0
hexb22926bf1e2

12243113341410 has 128 divisors (see below), whose sum is σ = 37427863726080. Its totient is φ = 2495190887424.

The previous prime is 12243113341409. The next prime is 12243113341411. The reversal of 12243113341410 is 1414331134221.

12243113341410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12243113341409) and next prime (12243113341411).

It is a super-2 number, since 2×122431133414102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12243113341411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90180684 + ... + 90316343.

It is an arithmetic number, because the mean of its divisors is an integer number (292405185360).

Almost surely, 212243113341410 is an apocalyptic number.

12243113341410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12243113341410 is an abundant number, since it is smaller than the sum of its proper divisors (25184750384670).

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

12243113341410 is a wasteful number, since it uses less digits than its factorization.

12243113341410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180497080.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 12243113341410 its reverse (1414331134221), we get a palindrome (13657444475631).

The spelling of 12243113341410 in words is "twelve trillion, two hundred forty-three billion, one hundred thirteen million, three hundred forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 19 21 30 34 35 38 42 51 57 70 85 95 102 105 114 119 133 170 190 210 238 255 266 285 323 357 399 510 570 595 646 665 714 798 969 1190 1330 1615 1785 1938 1995 2261 3230 3570 3990 4522 4845 6783 9690 11305 13566 22610 33915 67830 180497027 360994054 541491081 902485135 1082982162 1263479189 1804970270 2526958378 2707455405 3068449459 3429443513 3790437567 5414910810 6136898918 6317395945 6858887026 7580875134 9205348377 10288330539 12634791890 15342247295 17147217565 18410696754 18952187835 20576661078 21479146213 24006104591 30684494590 34294435130 37904375670 42958292426 46026741885 48012209182 51441652695 58300539721 64437438639 72018313773 92053483770 102883305390 107395731065 116601079442 120030522955 128874877278 144036627546 174901619163 214791462130 240061045910 291502698605 322187193195 349803238326 360091568865 408103778047 583005397210 644374386390 720183137730 816207556094 874508095815 1224311334141 1749016191630 2040518890235 2448622668282 4081037780470 6121556670705 12243113341410