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254135110423113 = 32411973349068949
BaseRepresentation
bin111001110010001001110000…
…111110110101001001001001
31020022211002010210120122212100
4321302021300332311021021
5231302222201232014423
62300300020310104013
7104346440642510133
oct7162116076651111
91208732123518770
10254135110423113
1173a801055aa707
122460510634b009
13aba5ab83637ba
1446a82c2640053
151e5a9864d7343
hexe72270fb5249

254135110423113 has 24 divisors (see below), whose sum is σ = 376227910585800. Its totient is φ = 165207351709440.

The previous prime is 254135110423109. The next prime is 254135110423121. The reversal of 254135110423113 is 311324011531452.

254135110423113 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 3 + 5 + 110 + 423 + 113 = 666.

254135110423113 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 can be written as a sum of positive squares in 4 ways, for example, as 28970763264 + 254106139659849 = 170208^2 + 15940707^2 .

It is not a de Polignac number, because 254135110423113 - 22 = 254135110423109 is a prime.

It is a super-2 number, since 2×2541351104231132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (254135110423123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173806438 + ... + 175262511.

It is an arithmetic number, because the mean of its divisors is an integer number (15676162941075).

Almost surely, 2254135110423113 is an apocalyptic number.

It is an amenable number.

254135110423113 is a deficient number, since it is larger than the sum of its proper divisors (122092800162687).

254135110423113 is a wasteful number, since it uses less digits than its factorization.

254135110423113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349070969 (or 349070966 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 254135110423113 its reverse (311324011531452), we get a palindrome (565459121954565).

The spelling of 254135110423113 in words is "two hundred fifty-four trillion, one hundred thirty-five billion, one hundred ten million, four hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 9 41 123 369 1973 5919 17757 80893 242679 728037 349068949 1047206847 3141620541 14311826909 42935480727 128806442181 688713036377 2066139109131 6198417327393 28237234491457 84711703474371 254135110423113