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13252400152110 = 23257296164718379
BaseRepresentation
bin1100000011011001000010…
…0110100111111000101110
31201220220202112220202010100
43000312100212213320232
53214111403414331420
644104022451451530
72535311554450230
oct300662046477056
951826675822110
1013252400152110
11424a34743a829
1215a04a1bb6ba6
13751908087252
1433b5c34d6250
1517ead3057190
hexc0d909a7e2e

13252400152110 has 384 divisors, whose sum is σ = 41470502860800. Its totient is φ = 2872119720960.

The previous prime is 13252400152109. The next prime is 13252400152127. The reversal of 13252400152110 is 1125100425231.

It is a happy number.

13252400152110 is a `hidden beast` number, since 1 + 3 + 252 + 400 + 1 + 5 + 2 + 1 + 1 + 0 = 666.

It is a super-2 number, since 2×132524001521102 (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 191 ways as a sum of consecutive naturals, for example, 721052901 + ... + 721071279.

It is an arithmetic number, because the mean of its divisors is an integer number (107996101200).

Almost surely, 213252400152110 is an apocalyptic number.

13252400152110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13252400152110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20735251430400).

13252400152110 is an abundant number, since it is smaller than the sum of its proper divisors (28218102708690).

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

13252400152110 is a wasteful number, since it uses less digits than its factorization.

13252400152110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19136 (or 19133 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 13252400152110 its reverse (1125100425231), we get a palindrome (14377500577341).

The spelling of 13252400152110 in words is "thirteen trillion, two hundred fifty-two billion, four hundred million, one hundred fifty-two thousand, one hundred ten".