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3105054450045 = 32529113206910177
BaseRepresentation
bin101101001011110011101…
…010101110000101111101
3101222211200120202021200100
4231023303222232011331
5401333122414400140
610334235312551313
7440222100230412
oct55136352560575
911884616667610
103105054450045
11a97934319a19
12421944552539
13196a61553c92
14aa3dd350109
1555b8258d530
hex2d2f3aae17d

3105054450045 has 96 divisors (see below), whose sum is σ = 5620222389600. Its totient is φ = 1583853207552.

The previous prime is 3105054450041. The next prime is 3105054450049. The reversal of 3105054450045 is 5400544505013.

3105054450045 is a `hidden beast` number, since 3 + 10 + 50 + 54 + 4 + 500 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (3105054450041) and next prime (3105054450049).

It can be written as a sum of positive squares in 16 ways, for example, as 1864134200889 + 1240920249156 = 1365333^2 + 1113966^2 .

It is not a de Polignac number, because 3105054450045 - 22 = 3105054450041 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3105054449991 and 3105054450009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105054450041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305099997 + ... + 305110173.

It is an arithmetic number, because the mean of its divisors is an integer number (58543983225).

Almost surely, 23105054450045 is an apocalyptic number.

It is an amenable number.

3105054450045 is a deficient number, since it is larger than the sum of its proper divisors (2515167939555).

3105054450045 is a wasteful number, since it uses less digits than its factorization.

3105054450045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12399 (or 12396 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 3105054450045 its reverse (5400544505013), we get a palindrome (8505598955058).

The spelling of 3105054450045 in words is "three trillion, one hundred five billion, fifty-four million, four hundred fifty thousand, forty-five".

Divisors: 1 3 5 9 15 29 45 87 113 145 261 339 435 565 1017 1305 1695 2069 3277 5085 6207 9831 10177 10345 16385 18621 29493 30531 31035 49155 50885 60001 91593 93105 147465 152655 180003 233797 295133 300005 457965 540009 701391 885399 900015 1150001 1168985 1475665 2104173 2656197 2700045 3450003 3506955 4426995 5750005 6780113 10350009 10520865 13280985 17250015 20340339 21056213 33350029 33900565 51750045 61021017 63168639 100050087 101701695 105281065 166750145 189505917 300150261 305105085 315843195 500250435 610630177 947529585 1500751305 1831890531 2379352069 3053150885 5495671593 7138056207 9159452655 11896760345 21414168621 27478357965 35690281035 69001210001 107070843105 207003630003 345006050005 621010890009 1035018150015 3105054450045