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225126057123 = 321129471668379
BaseRepresentation
bin1101000110101010001…
…1110000010010100011
3210112002102101122011200
43101222203300102203
512142024232311443
6251231012412243
722156555624602
oct3215243602243
9715072348150
10225126057123
1187525876870
123776a317083
13182c99c05b6
14ac790bda39
155cc9246dd3
hex346a8f04a3

225126057123 has 48 divisors (see below), whose sum is σ = 374784883200. Its totient is φ = 128932251840.

The previous prime is 225126057109. The next prime is 225126057157. The reversal of 225126057123 is 321750621522.

225126057123 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 2 + 60 + 571 + 23 = 666.

It is not a de Polignac number, because 225126057123 - 224 = 225109279907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225126057523) 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 47 ways as a sum of consecutive naturals, for example, 699253 + ... + 969126.

It is an arithmetic number, because the mean of its divisors is an integer number (7808018400).

Almost surely, 2225126057123 is an apocalyptic number.

225126057123 is a deficient number, since it is larger than the sum of its proper divisors (149658826077).

225126057123 is a wasteful number, since it uses less digits than its factorization.

225126057123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668472 (or 1668469 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 225126057123 its reverse (321750621522), we get a palindrome (546876678645).

The spelling of 225126057123 in words is "two hundred twenty-five billion, one hundred twenty-six million, fifty-seven thousand, one hundred twenty-three".

Divisors: 1 3 9 11 29 33 47 87 99 141 261 319 423 517 957 1363 1551 2871 4089 4653 12267 14993 44979 134937 1668379 5005137 15015411 18352169 48382991 55056507 78413813 145148973 165169521 235241439 435446919 532212901 705724317 862551943 1596638703 2274000577 2587655829 4789916109 6822001731 7762967487 20466005193 25014006347 75042019041 225126057123