Search a number
-
+
201211012201009 = 17239323417211217
BaseRepresentation
bin101101110000000000010110…
…111010000011101000110001
3222101102120210101201221102111
4231300000112322003220301
5202333120123110413014
61551535021331445321
760245005312221046
oct5560002672035061
9871376711657374
10201211012201009
1159126124911008
121a698060a56841
13883716a183855
1437989448b71cd
15183de609292c4
hexb70016e83a31

201211012201009 has 16 divisors (see below), whose sum is σ = 213146094219408. Its totient is φ = 189286953336832.

The previous prime is 201211012200983. The next prime is 201211012201039. The reversal of 201211012201009 is 900102210112102.

It can be written as a sum of positive squares in 8 ways, for example, as 2843364867984 + 198367647333025 = 1686228^2 + 14084305^2 .

It is a cyclic number.

It is not a de Polignac number, because 201211012201009 - 231 = 201208864717361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201211012201039) 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, 952521369 + ... + 952732585.

It is an arithmetic number, because the mean of its divisors is an integer number (13321630888713).

Almost surely, 2201211012201009 is an apocalyptic number.

It is an amenable number.

201211012201009 is a deficient number, since it is larger than the sum of its proper divisors (11935082018399).

201211012201009 is a wasteful number, since it uses less digits than its factorization.

201211012201009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237044.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 201211012201009 in words is "two hundred one trillion, two hundred eleven billion, twelve million, two hundred one thousand, nine".

Divisors: 1 17 2393 23417 40681 211217 398089 3590689 56036881 505442281 952626977 4946068489 8592518777 84083164313 11835941894177 201211012201009