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12144603516110 = 25132924113366723
BaseRepresentation
bin1011000010111010001011…
…0001110100110011001110
31121000000100022002211110022
42300232202301310303032
53042434122000003420
641455053121142142
72362263411430412
oct260564261646316
947000308084408
1012144603516110
11396255209180a
12144185718a952
136a1300c303c0
142ddb32780d42
15160d97d7bc25
hexb0ba2c74cce

12144603516110 has 64 divisors (see below), whose sum is σ = 24454688892480. Its totient is φ = 4311569848320.

The previous prime is 12144603516047. The next prime is 12144603516121. The reversal of 12144603516110 is 1161530644121.

12144603516110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121446035161102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5774792 + ... + 7591931.

It is an arithmetic number, because the mean of its divisors is an integer number (382104513945).

Almost surely, 212144603516110 is an apocalyptic number.

12144603516110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12144603516110 is an abundant number, since it is smaller than the sum of its proper divisors (12310085376370).

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

12144603516110 is a wasteful number, since it uses less digits than its factorization.

12144603516110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13367013.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 12144603516110 in words is "twelve trillion, one hundred forty-four billion, six hundred three million, five hundred sixteen thousand, one hundred ten".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 241 290 377 482 754 1205 1885 2410 3133 3770 6266 6989 13978 15665 31330 34945 69890 90857 181714 454285 908570 13366723 26733446 66833615 133667230 173767399 347534798 387634967 775269934 868836995 1737673990 1938174835 3221380243 3876349670 5039254571 6442760486 10078509142 16106901215 25196272855 32213802430 41877943159 50392545710 83755886318 93420027047 186840054094 209389715795 418779431590 467100135235 934200270470 1214460351611 2428920703222 6072301758055 12144603516110