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13713012252 = 22322336745127
BaseRepresentation
bin11001100010101101…
…11111011000011100
31022101200110012101200
430301112333120130
5211041012343002
610144421235500
7663551452362
oct146126773034
938350405350
1013713012252
1158a7702085
1227a8562b90
1313a7018a44
1494132d632
15553d44b1c
hex3315bf61c

13713012252 has 72 divisors (see below), whose sum is σ = 36269915136. Its totient is φ = 4360254624.

The previous prime is 13713012241. The next prime is 13713012343. The reversal of 13713012252 is 25221031731.

13713012252 is a `hidden beast` number, since 1 + 371 + 30 + 12 + 252 = 666.

It is a super-2 number, since 2×137130122522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281313 + ... + 326439.

Almost surely, 213713012252 is an apocalyptic number.

13713012252 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 13713012252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18134957568).

13713012252 is an abundant number, since it is smaller than the sum of its proper divisors (22556902884).

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

13713012252 is a wasteful number, since it uses less digits than its factorization.

13713012252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45527 (or 45522 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 13713012252 its reverse (25221031731), we get a palindrome (38934043983).

The spelling of 13713012252 in words is "thirteen billion, seven hundred thirteen million, twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 367 414 734 828 1101 1468 2202 3303 4404 6606 8441 13212 16882 25323 33764 45127 50646 75969 90254 101292 135381 151938 180508 270762 303876 406143 541524 812286 1037921 1624572 2075842 3113763 4151684 6227526 9341289 12455052 16561609 18682578 33123218 37365156 49684827 66246436 99369654 149054481 198739308 298108962 380917007 596217924 761834014 1142751021 1523668028 2285502042 3428253063 4571004084 6856506126 13713012252