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10110001000985 = 579891531918773
BaseRepresentation
bin1001001100011110101100…
…0001001011001000011001
31022210111200100112002021222
42103013223001023020121
52311120240224012420
633300245332141425
72062265151414134
oct223075301131031
938714610462258
1010110001000985
113248699aa8196
121173476a67875
135844a4915c12
1426d4804d321b
15127eb7187225
hex931eb04b219

10110001000985 has 32 divisors (see below), whose sum is σ = 12425083776000. Its totient is φ = 7894958962176.

The previous prime is 10110001000973. The next prime is 10110001001027. The reversal of 10110001000985 is 58900010001101.

It is a cyclic number.

It is not a de Polignac number, because 10110001000985 - 210 = 10110000999961 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538530059 + ... + 538548831.

It is an arithmetic number, because the mean of its divisors is an integer number (388283868000).

Almost surely, 210110001000985 is an apocalyptic number.

It is an amenable number.

10110001000985 is a deficient number, since it is larger than the sum of its proper divisors (2315082775015).

10110001000985 is a wasteful number, since it uses less digits than its factorization.

10110001000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34265.

The product of its (nonzero) digits is 360, while the sum is 26.

The spelling of 10110001000985 in words is "ten trillion, one hundred ten billion, one million, nine hundred eighty-five", and thus it is an aban number.

Divisors: 1 5 79 89 395 445 7031 15319 18773 35155 76595 93865 1210201 1363391 1483067 1670797 6051005 6816955 7415335 8353985 107707889 131992963 287583587 538539445 659964815 1437917935 22719103373 25594939243 113595516865 127974696215 2022000200197 10110001000985