Search a number
-
+
1010000100985 = 5711312193859
BaseRepresentation
bin11101011001010001011…
…00100111111001111001
310120112222122101012010121
432230220230213321321
5113021440011212420
62051553155213241
7132653513131261
oct16545054477171
93515878335117
101010000100985
1135a37a7a9867
121438b2ba7221
137431ccbcc65
1436c545d47a1
151b4146442aa
hexeb28b27e79

1010000100985 has 48 divisors (see below), whose sum is σ = 1246390899840. Its totient is φ = 785527142400.

The previous prime is 1010000100959. The next prime is 1010000101081. The reversal of 1010000100985 is 5890010000101.

It is not a de Polignac number, because 1010000100985 - 223 = 1009991712377 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175785486 + ... + 1175786344.

It is an arithmetic number, because the mean of its divisors is an integer number (25966477080).

Almost surely, 21010000100985 is an apocalyptic number.

It is an amenable number.

1010000100985 is a deficient number, since it is larger than the sum of its proper divisors (236390798855).

1010000100985 is an equidigital number, since it uses as much as digits as its factorization.

1010000100985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 25.

The spelling of 1010000100985 in words is "one trillion, ten billion, one hundred thousand, nine hundred eighty-five".

Divisors: 1 5 71 131 193 355 655 859 965 4295 9301 13703 17161 25283 46505 60989 68515 85805 112529 126415 165787 304945 562645 828935 1218431 1795093 3312073 6092155 7989559 8975465 11770877 14741299 16560365 21718097 39947795 58854385 73706495 108590485 235157183 1046632229 1175785915 1541984887 2845070707 5233161145 7709924435 14225353535 202000020197 1010000100985