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13121030111120 = 2451396831727597
BaseRepresentation
bin1011111011101111101001…
…0101101011111110010000
31201110100200011000012120122
42332323322111223332100
53204433332202023440
643523415031525412
72522651233515251
oct276737225537620
951410604005518
1013121030111120
1141a9663484618
12157ab3a529868
137424003c3399
143350c00b6b28
1517b494cba7b5
hexbeefa56bf90

13121030111120 has 80 divisors (see below), whose sum is σ = 30770869913280. Its totient is φ = 5203021604352.

The previous prime is 13121030111099. The next prime is 13121030111179. The reversal of 13121030111120 is 2111103012131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131210301111202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6731162 + ... + 8458758.

It is an arithmetic number, because the mean of its divisors is an integer number (384635873916).

Almost surely, 213121030111120 is an apocalyptic number.

13121030111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121030111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385434956640).

13121030111120 is an abundant number, since it is smaller than the sum of its proper divisors (17649839802160).

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

13121030111120 is a wasteful number, since it uses less digits than its factorization.

13121030111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728432 (or 1728426 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 13121030111120 its reverse (2111103012131), we get a palindrome (15232133123251).

The spelling of 13121030111120 in words is "thirteen trillion, one hundred twenty-one billion, thirty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 683 695 1112 1366 1390 2224 2732 2780 3415 5464 5560 6830 10928 11120 13660 27320 54640 94937 189874 379748 474685 759496 949370 1518992 1727597 1898740 3455194 3797480 6910388 7594960 8637985 13820776 17275970 27641552 34551940 69103880 138207760 240135983 480271966 960543932 1179948751 1200679915 1921087864 2359897502 2401359830 3842175728 4719795004 4802719660 5899743755 9439590008 9605439320 11799487510 18879180016 19210878640 23598975020 47197950040 94395900080 164012876389 328025752778 656051505556 820064381945 1312103011112 1640128763890 2624206022224 3280257527780 6560515055560 13121030111120