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104513253200 = 2452733579221
BaseRepresentation
bin110000101010101111…
…0011010111101010000
3100222202201010100201122
41201111132122331100
53203020343100300
6120002425421412
710356635665046
oct1412536327520
9328681110648
10104513253200
1140362009024
121830933a868
139b17876775
1450b661a396
152aba594c85
hex185579af50

104513253200 has 60 divisors (see below), whose sum is σ = 254532793308. Its totient is φ = 41232614400.

The previous prime is 104513253197. The next prime is 104513253209. The reversal of 104513253200 is 2352315401.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4308084496 + 100205168704 = 65636^2 + 316552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 104513253200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104513253209) 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 11 ways as a sum of consecutive naturals, for example, 1760411 + ... + 1818810.

Almost surely, 2104513253200 is an apocalyptic number.

104513253200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104513253200 is an abundant number, since it is smaller than the sum of its proper divisors (150019540108).

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

104513253200 is a wasteful number, since it uses less digits than its factorization.

104513253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579312 (or 3579301 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 104513253200 its reverse (2352315401), we get a palindrome (106865568601).

The spelling of 104513253200 in words is "one hundred four billion, five hundred thirteen million, two hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 3579221 7158442 14316884 17896105 28633768 35792210 57267536 71584420 89480525 143168840 178961050 261283133 286337680 357922100 522566266 715844200 1045132532 1306415665 1431688400 2090265064 2612831330 4180530128 5225662660 6532078325 10451325320 13064156650 20902650640 26128313300 52256626600 104513253200