Search a number
-
+
203313221220123 = 3374793224437999
BaseRepresentation
bin101110001110100110001100…
…010101000011011100011011
3222122212112221221212221012000
4232032212030111003130123
5203122040434113020443
62000224445430452043
760552616104106440
oct5616461425033433
9878775857787160
10203313221220123
1159866720017723
121a97756a504023
13895a47ba96251
14382c5ab9319c7
15187899ba408d3
hexb8e98c54371b

203313221220123 has 32 divisors (see below), whose sum is σ = 344305847040000. Its totient is φ = 116154743732928.

The previous prime is 203313221220113. The next prime is 203313221220127. The reversal of 203313221220123 is 321022122313302.

203313221220123 is a `hidden beast` number, since 2 + 0 + 3 + 313 + 2 + 2 + 1 + 220 + 123 = 666.

203313221220123 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 203313221220123 - 26 = 203313221220059 is a prime.

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 (203313221220127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111313123 + ... + 113124876.

It is an arithmetic number, because the mean of its divisors is an integer number (10759557720000).

Almost surely, 2203313221220123 is an apocalyptic number.

203313221220123 is a deficient number, since it is larger than the sum of its proper divisors (140992625819877).

203313221220123 is a wasteful number, since it uses less digits than its factorization.

203313221220123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224442808 (or 224442802 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 203313221220123 its reverse (321022122313302), we get a palindrome (524335343533425).

The spelling of 203313221220123 in words is "two hundred three trillion, three hundred thirteen billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 189 4793 14379 33551 43137 100653 129411 301959 905877 224437999 673313997 1571065993 2019941991 4713197979 6059825973 14139593937 42418781811 1075731329207 3227193987621 7530119304449 9681581962863 22590357913347 29044745888589 67771073740041 203313221220123