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106015016055 = 35131731980397
BaseRepresentation
bin110001010111011111…
…1001100010001110111
3101010122100221211002010
41202232333030101313
53214104321003210
6120411433415303
710442102524314
oct1425677142167
9333570854063
10106015016055
1140a62792753
121866826a533
139cc6a35240
1451b9c5bd0b
152b5733b920
hex18aefcc477

106015016055 has 32 divisors (see below), whose sum is σ = 193417447104. Its totient is φ = 49121888256.

The previous prime is 106015015979. The next prime is 106015016057. The reversal of 106015016055 is 550610510601.

It is not a de Polignac number, because 106015016055 - 27 = 106015015927 is a prime.

It is a super-2 number, since 2×1060150160552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106015016057) 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, 15986884 + ... + 15993513.

It is an arithmetic number, because the mean of its divisors is an integer number (6044295222).

Almost surely, 2106015016055 is an apocalyptic number.

106015016055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106015016055 is a deficient number, since it is larger than the sum of its proper divisors (87402431049).

106015016055 is a wasteful number, since it uses less digits than its factorization.

106015016055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31980435.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 106015016055 its reverse (550610510601), we get a palindrome (656625526656).

The spelling of 106015016055 in words is "one hundred six billion, fifteen million, sixteen thousand, fifty-five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 3315 31980397 95941191 159901985 415745161 479705955 543666749 1247235483 1631000247 2078725805 2718333745 6236177415 7067667737 8155001235 21203003211 35338338685 106015016055