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105013452252 = 223105120034157
BaseRepresentation
bin110000111001101001…
…0100001110111011100
3101001001120100002211110
41201303102201313130
53210031420433002
6120124214422020
710405221421242
oct1416322416734
9331046302743
10105013452252
11405993a0a75
1218428961910
139b9739b337
145122c24792
152ae944be6c
hex18734a1ddc

105013452252 has 48 divisors (see below), whose sum is σ = 245446008192. Its totient is φ = 34945310400.

The previous prime is 105013452221. The next prime is 105013452293. The reversal of 105013452252 is 252254310501.

It is a super-2 number, since 2×1050134522522 (a number of 23 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 15 ways as a sum of consecutive naturals, for example, 25259758 + ... + 25263914.

It is an arithmetic number, because the mean of its divisors is an integer number (5113458504).

Almost surely, 2105013452252 is an apocalyptic number.

105013452252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105013452252 is an abundant number, since it is smaller than the sum of its proper divisors (140432555940).

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

105013452252 is a wasteful number, since it uses less digits than its factorization.

105013452252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105013452252 its reverse (252254310501), we get a palindrome (357267762753).

The spelling of 105013452252 in words is "one hundred five billion, thirteen million, four hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 1051 2003 2102 3153 4006 4157 4204 6009 6306 8012 8314 12018 12471 12612 16628 24036 24942 49884 2105153 4210306 4369007 6315459 8326471 8420612 8738014 12630918 13107021 16652942 17476028 24979413 25261836 26214042 33305884 49958826 52428084 99917652 8751121021 17502242042 26253363063 35004484084 52506726126 105013452252