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385050120127 = 31101719171043
BaseRepresentation
bin1011001101001101100…
…01101000111110111111
31100210212210201210012021
411212212301220332333
522302040312321002
6452520052221011
736550621006261
oct5464661507677
91323783653167
10385050120127
11139331833382
126276060a767
132a4052c028a
14148ca8a7b31
15a0391d4737
hex59a6c68fbf

385050120127 has 16 divisors (see below), whose sum is σ = 401967083520. Its totient is φ = 368424468000.

The previous prime is 385050120107. The next prime is 385050120137. The reversal of 385050120127 is 721021050583.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-385050120127 is a prime.

It is a super-2 number, since 2×3850501201272 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 385050120092 and 385050120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385050120107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2165668 + ... + 2336710.

It is an arithmetic number, because the mean of its divisors is an integer number (25122942720).

Almost surely, 2385050120127 is an apocalyptic number.

385050120127 is a deficient number, since it is larger than the sum of its proper divisors (16916963393).

385050120127 is a wasteful number, since it uses less digits than its factorization.

385050120127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171894.

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 385050120127 in words is "three hundred eighty-five billion, fifty million, one hundred twenty thousand, one hundred twenty-seven".

Divisors: 1 31 101 719 3131 22289 72619 171043 2251189 5302333 17275343 122979917 535535633 3812377427 12420971617 385050120127