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102150756045 = 3451319401853
BaseRepresentation
bin101111100100010101…
…0001101011011001101
3100202200001200001220000
41133020222031123031
53133201043143140
6114532153114513
710244251046202
oct1371052153315
9322601601800
10102150756045
113a35a490a38
121796a0b8a39
13982c28bb60
144d3095dca9
1529cce7aa30
hex17c8a8d6cd

102150756045 has 40 divisors (see below), whose sum is σ = 197200444056. Its totient is φ = 50289600384.

The previous prime is 102150756031. The next prime is 102150756047. The reversal of 102150756045 is 540657051201.

102150756045 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 50 + 7 + 560 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1268926884 + 100881829161 = 35622^2 + 317619^2 .

It is not a de Polignac number, because 102150756045 - 227 = 102016538317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102150756047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9695662 + ... + 9706191.

Almost surely, 2102150756045 is an apocalyptic number.

102150756045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102150756045 is a deficient number, since it is larger than the sum of its proper divisors (95049688011).

102150756045 is a wasteful number, since it uses less digits than its factorization.

102150756045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19401883 (or 19401874 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 102150756045 in words is "one hundred two billion, one hundred fifty million, seven hundred fifty-six thousand, forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 19401853 58205559 97009265 174616677 252224089 291027795 523850031 756672267 873083385 1261120445 1571550093 2270016801 2619250155 3783361335 6810050403 7857750465 11350084005 20430151209 34050252015 102150756045