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1014748100135 = 57112941925439
BaseRepresentation
bin11101100010000111011…
…00110011011000100111
310121000020112120112111222
432301003230303120213
5113111201003201020
62054100245250555
7133212255351350
oct16610354633047
93530215515458
101014748100135
11361396936900
121447b9103a5b
13748c8888503
1437185018d27
151b5e13bdb25
hexec43b33627

1014748100135 has 48 divisors (see below), whose sum is σ = 1529892403200. Its totient is φ = 632478221760.

The previous prime is 1014748100129. The next prime is 1014748100137. The reversal of 1014748100135 is 5310018474101.

It is not a de Polignac number, because 1014748100135 - 28 = 1014748099879 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 1014748100095 and 1014748100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014748100137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39876746 + ... + 39902184.

It is an arithmetic number, because the mean of its divisors is an integer number (31872758400).

Almost surely, 21014748100135 is an apocalyptic number.

1014748100135 is a deficient number, since it is larger than the sum of its proper divisors (515144303065).

1014748100135 is a wasteful number, since it uses less digits than its factorization.

1014748100135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34892 (or 34881 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The spelling of 1014748100135 in words is "one trillion, fourteen billion, seven hundred forty-eight million, one hundred thousand, one hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 121 385 605 847 4235 9419 25439 47095 65933 103609 127195 178073 279829 329665 518045 725263 890365 1139699 1399145 1958803 3078119 3626315 5698495 7977893 9794015 15390595 21546833 39889465 107734165 239609941 1198049705 1677269587 2635709351 8386347935 13178546755 18449965457 28992802861 92249827285 144964014305 202949620027 1014748100135