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13024252332 = 22337213312197
BaseRepresentation
bin11000010000100111…
…00101000110101100
31020121200102120102000
430020103211012230
5203133202033312
65552214532300
7640516214100
oct141023450654
936550376360
1013024252332
11558393a603
122635967090
1312c74137b0
148b7a7d900
15513642adc
hex3084e51ac

13024252332 has 432 divisors, whose sum is σ = 43931432160. Its totient is φ = 3307288320.

The previous prime is 13024252271. The next prime is 13024252361. The reversal of 13024252332 is 23325242031.

13024252332 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 425 + 233 + 2 = 666.

It is a super-2 number, since 2×130242523322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13024252296 and 13024252305.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66112858 + ... + 66113054.

It is an arithmetic number, because the mean of its divisors is an integer number (101693130).

Almost surely, 213024252332 is an apocalyptic number.

13024252332 is a gapful number since it is divisible by the number (12) 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 13024252332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965716080).

13024252332 is an abundant number, since it is smaller than the sum of its proper divisors (30907179828).

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

13024252332 is a wasteful number, since it uses less digits than its factorization.

13024252332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13024252332 its reverse (23325242031), we get a palindrome (36349494363).

It can be divided in two parts, 13024 and 252332, that added together give a triangular number (265356 = T728).

The spelling of 13024252332 in words is "thirteen billion, twenty-four million, two hundred fifty-two thousand, three hundred thirty-two".