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11245235253102 = 23223101853315281
BaseRepresentation
bin1010001110100011110001…
…0000001010111101101110
31110211000220210001022110100
42203220330100022331232
52433220220211044402
635525553442051530
72240304261350604
oct243507420127556
943730823038410
1011245235253102
113646094157304
12131749a649ba6
13637562302686
142ac3b5243874
151477ab03b71c
hexa3a3c40af6e

11245235253102 has 96 divisors (see below), whose sum is σ = 25705915050816. Its totient is φ = 3545764992000.

The previous prime is 11245235253059. The next prime is 11245235253103. The reversal of 11245235253102 is 20135253254211.

11245235253102 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 5 + 23 + 525 + 3 + 102 = 666.

11245235253102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11245235253103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35509702 + ... + 35824982.

It is an arithmetic number, because the mean of its divisors is an integer number (267769948446).

Almost surely, 211245235253102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11245235253102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852957525408).

11245235253102 is an abundant number, since it is smaller than the sum of its proper divisors (14460679797714).

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

11245235253102 is a wasteful number, since it uses less digits than its factorization.

11245235253102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316266 (or 316263 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 11245235253102 in words is "eleven trillion, two hundred forty-five billion, two hundred thirty-five million, two hundred fifty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 202 207 303 414 606 853 909 1706 1818 2323 2559 4646 5118 6969 7677 13938 15354 19619 20907 39238 41814 58857 86153 117714 172306 176571 258459 315281 353142 516918 630562 775377 945843 1550754 1891686 1981519 2837529 3963038 5675058 5944557 7251463 11889114 14502926 17833671 21754389 31843381 35667342 43508778 63686762 65263167 95530143 130526334 191060286 268934693 286590429 537869386 573180858 732397763 806804079 1464795526 1613608158 2197193289 2420412237 4394386578 4840824474 6185497939 6591579867 12370995878 13183159734 18556493817 27162403993 37112987634 54324807986 55669481451 81487211979 111338962902 162974423958 244461635937 488923271874 624735291839 1249470583678 1874205875517 3748411751034 5622617626551 11245235253102