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11201000001221 = 174126959740897
BaseRepresentation
bin1010001011111110111110…
…1000000100111011000101
31110122210201221121200121002
42202333233220010323011
52432004122000014341
635453400211103045
72234150136044642
oct242775750047305
943583657550532
1011201000001221
1136293545448a8
12130a9b42a1a85
13633332980b14
142aa1ba3a4dc9
1514656c81029b
hexa2fefa04ec5

11201000001221 has 16 divisors (see below), whose sum is σ = 12194312099760. Its totient is φ = 10246758481920.

The previous prime is 11201000001199. The next prime is 11201000001239. The reversal of 11201000001221 is 12210000010211.

It can be written as a sum of positive squares in 8 ways, for example, as 5051319180196 + 6149680821025 = 2247514^2 + 2479855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11201000001221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201000001281) 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, 29682956 + ... + 30057941.

It is an arithmetic number, because the mean of its divisors is an integer number (762144506235).

Almost surely, 211201000001221 is an apocalyptic number.

It is an amenable number.

11201000001221 is a deficient number, since it is larger than the sum of its proper divisors (993312098539).

11201000001221 is a wasteful number, since it uses less digits than its factorization.

11201000001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59741224.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11201000001221 its reverse (12210000010211), we get a palindrome (23411000011432).

The spelling of 11201000001221 in words is "eleven trillion, two hundred one billion, one thousand, two hundred twenty-one".

Divisors: 1 17 41 269 697 4573 11029 187493 59740897 1015595249 2449376777 16070301293 41639405209 273195121981 658882353013 11201000001221