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225012101301 = 32131923180353
BaseRepresentation
bin1101000110001111000…
…1000011000010110101
3210111210110222002011200
43101203301003002311
512141311044220201
6251211422123113
722154003206101
oct3214361030265
9714713862150
10225012101301
11874775130a9
1237738120499
13182ac201810
14ac67cd8901
155cbe237386
hex3463c430b5

225012101301 has 12 divisors (see below), whose sum is σ = 350018824428. Its totient is φ = 138468985344.

The previous prime is 225012101239. The next prime is 225012101317. The reversal of 225012101301 is 103101210522.

225012101301 is a `hidden beast` number, since 2 + 250 + 12 + 101 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152018111025 + 72993990276 = 389895^2 + 270174^2 .

It is not a de Polignac number, because 225012101301 - 217 = 225011970229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225012101341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 961590060 + ... + 961590293.

It is an arithmetic number, because the mean of its divisors is an integer number (29168235369).

Almost surely, 2225012101301 is an apocalyptic number.

It is an amenable number.

225012101301 is a deficient number, since it is larger than the sum of its proper divisors (125006723127).

225012101301 is a wasteful number, since it uses less digits than its factorization.

225012101301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923180372 (or 1923180369 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 225012101301 its reverse (103101210522), we get a palindrome (328113311823).

The spelling of 225012101301 in words is "two hundred twenty-five billion, twelve million, one hundred one thousand, three hundred one".

Divisors: 1 3 9 13 39 117 1923180353 5769541059 17308623177 25001344589 75004033767 225012101301