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2101011209 = 112157110597
BaseRepresentation
bin111110100111010…
…1110001100001001
312102102102102112222
41331032232030021
513300324324314
6544251543425
7103031205053
oct17516561411
95372372488
102101011209
11988a69900
124a775ab75
132763831cb
1415d0708d3
15c46b6c8e
hex7d3ae309

2101011209 has 12 divisors (see below), whose sum is σ = 2324106372. Its totient is φ = 1897827360.

The previous prime is 2101011179. The next prime is 2101011217. The reversal of 2101011209 is 9021101012.

It can be written as a sum of positive squares in 2 ways, for example, as 1049436025 + 1051575184 = 32395^2 + 32428^2 .

It is not a de Polignac number, because 2101011209 - 216 = 2100945673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101016209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36302 + ... + 74295.

It is an arithmetic number, because the mean of its divisors is an integer number (193675531).

Almost surely, 22101011209 is an apocalyptic number.

It is an amenable number.

2101011209 is a deficient number, since it is larger than the sum of its proper divisors (223095163).

2101011209 is a wasteful number, since it uses less digits than its factorization.

2101011209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110776 (or 110765 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 2101011209 is about 45836.7888164082. The cubic root of 2101011209 is about 1280.7846769531.

The spelling of 2101011209 in words is "two billion, one hundred one million, eleven thousand, two hundred nine".

Divisors: 1 11 121 157 1727 18997 110597 1216567 13382237 17363729 191001019 2101011209