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13314150252 = 22331341231293
BaseRepresentation
bin11000110011001010…
…11100111101101100
31021100212220220121000
430121211130331230
5204231410302002
610041052240300
7650636260404
oct143145347554
937325826530
1013314150252
115712544167
1226b6a70090
1313424b5420
14904383804
1552dd0861c
hex31995cf6c

13314150252 has 96 divisors (see below), whose sum is σ = 38080244160. Its totient is φ = 3996725760.

The previous prime is 13314150251. The next prime is 13314150259. The reversal of 13314150252 is 25205141331.

13314150252 is a `hidden beast` number, since 13 + 3 + 141 + 502 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13314150251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 58083 + ... + 173210.

It is an arithmetic number, because the mean of its divisors is an integer number (396669210).

Almost surely, 213314150252 is an apocalyptic number.

13314150252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13314150252 is an abundant number, since it is smaller than the sum of its proper divisors (24766093908).

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

13314150252 is a wasteful number, since it uses less digits than its factorization.

13314150252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231360 (or 231352 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13314150252 its reverse (25205141331), we get a palindrome (38519291583).

The spelling of 13314150252 in words is "thirteen billion, three hundred fourteen million, one hundred fifty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 82 108 117 123 156 164 234 246 351 369 468 492 533 702 738 1066 1107 1404 1476 1599 2132 2214 3198 4428 4797 6396 9594 14391 19188 28782 57564 231293 462586 693879 925172 1387758 2081637 2775516 3006809 4163274 6013618 6244911 8326548 9020427 9483013 12027236 12489822 18040854 18966026 24979644 27061281 28449039 36081708 37932052 54122562 56898078 81183843 85347117 108245124 113796156 123279169 162367686 170694234 246558338 256041351 324735372 341388468 369837507 493116676 512082702 739675014 1024165404 1109512521 1479350028 2219025042 3328537563 4438050084 6657075126 13314150252