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13124242400103 = 3210750327094427
BaseRepresentation
bin1011111011111011100111…
…0011100110001101100111
31201110122222000111101122200
42332332321303212031213
53210011422023300403
643525105502225543
72523123650520252
oct276767163461547
951418860441580
1013124242400103
1141aaa617608aa
12157b6962852b3
137427c2a755b3
14335306980099
1517b5d1ce4ca3
hexbefb9ce6367

13124242400103 has 24 divisors (see below), whose sum is σ = 19172450763648. Its totient is φ = 8650491577872.

The previous prime is 13124242400063. The next prime is 13124242400123. The reversal of 13124242400103 is 30100424242131.

13124242400103 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 242 + 400 + 10 + 3 = 666.

It is not a de Polignac number, because 13124242400103 - 218 = 13124242137959 is a prime.

It is a super-2 number, since 2×131242424001032 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124242400123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13062825 + ... + 14031602.

It is an arithmetic number, because the mean of its divisors is an integer number (798852115152).

Almost surely, 213124242400103 is an apocalyptic number.

13124242400103 is a deficient number, since it is larger than the sum of its proper divisors (6048208363545).

13124242400103 is a wasteful number, since it uses less digits than its factorization.

13124242400103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27095043 (or 27095040 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13124242400103 its reverse (30100424242131), we get a palindrome (43224666642234).

The spelling of 13124242400103 in words is "thirteen trillion, one hundred twenty-four billion, two hundred forty-two million, four hundred thousand, one hundred three".

Divisors: 1 3 9 107 321 503 963 1509 4527 53821 161463 484389 27094427 81283281 243849843 2899103689 8697311067 13628496781 26091933201 40885490343 122656471029 1458249155567 4374747466701 13124242400103