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101011000985 = 5293831818871
BaseRepresentation
bin101111000010010111…
…0011000111010011001
3100122201122000111212122
41132010232120322121
53123332304012420
6114223120151025
710204101225146
oct1360456307231
9318648014778
10101011000985
1139925093104
12176b0468475
1396aa0cbc8b
144c634333cd
152962d90725
hex1784b98e99

101011000985 has 16 divisors (see below), whose sum is σ = 125720432640. Its totient is φ = 77818534080.

The previous prime is 101011000967. The next prime is 101011000999. The reversal of 101011000985 is 589000110101.

It is not a de Polignac number, because 101011000985 - 226 = 100943892121 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 15 ways as a sum of consecutive naturals, for example, 853901 + ... + 964970.

It is an arithmetic number, because the mean of its divisors is an integer number (7857527040).

Almost surely, 2101011000985 is an apocalyptic number.

It is an amenable number.

101011000985 is a deficient number, since it is larger than the sum of its proper divisors (24709431655).

101011000985 is a wasteful number, since it uses less digits than its factorization.

101011000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819288.

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

The spelling of 101011000985 in words is "one hundred one billion, eleven million, nine hundred eighty-five", and thus it is an aban number.

Divisors: 1 5 29 145 383 1915 11107 55535 1818871 9094355 52747259 263736295 696627593 3483137965 20202200197 101011000985