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13105401225255 = 35537291522661
BaseRepresentation
bin1011111010110101011011…
…0010001110000000100111
31201101212022221111112200000
42332231112302032000213
53204204330203202010
643512312130352343
72521556026261323
oct276552662160047
951355287445600
1013105401225255
1141a2a73375319
121577ab842b6b3
13740aac4a6921
1433443a54a983
1517ad7cb7e7c0
hexbeb56c8e027

13105401225255 has 48 divisors (see below), whose sum is σ = 24194048764704. Its totient is φ = 6800640612480.

The previous prime is 13105401225253. The next prime is 13105401225263. The reversal of 13105401225255 is 55252210450131.

13105401225255 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 4 + 0 + 122 + 525 + 5 = 666.

It is not a de Polignac number, because 13105401225255 - 21 = 13105401225253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105401225253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145716376 + ... + 145806285.

It is an arithmetic number, because the mean of its divisors is an integer number (504042682598).

Almost surely, 213105401225255 is an apocalyptic number.

13105401225255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13105401225255 is a deficient number, since it is larger than the sum of its proper divisors (11088647539449).

13105401225255 is an equidigital number, since it uses as much as digits as its factorization.

13105401225255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291522718 (or 291522706 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 13105401225255 its reverse (55252210450131), we get a palindrome (68357611675386).

The spelling of 13105401225255 in words is "thirteen trillion, one hundred five billion, four hundred one million, two hundred twenty-five thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 243 333 405 555 999 1215 1665 2997 4995 8991 14985 44955 291522661 874567983 1457613305 2623703949 4372839915 7871111847 10786338457 13118519745 23613335541 32359015371 39355559235 53931692285 70840006623 97077046113 118066677705 161795076855 291231138339 354200033115 485385230565 873693415017 1456155691695 2621080245051 4368467075085 13105401225255