Search a number
-
+
11331123221097 = 341493917239689
BaseRepresentation
bin1010010011100011101110…
…0100110001001001101001
31111010020121110102011010000
42210320323210301021221
52441122120021033342
640033240211213213
72246434540133631
oct244707344611151
944106543364100
1011331123221097
113679558724939
12133006a2a7209
1364269c239004
142b2601d876c1
15149b363b344c
hexa4e3b931269

11331123221097 has 40 divisors (see below), whose sum is σ = 17044763373000. Its totient is φ = 7501436718336.

The previous prime is 11331123221039. The next prime is 11331123221101. The reversal of 11331123221097 is 79012232113311.

11331123221097 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 2 + 322 + 10 + 9 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3303029995776 + 8028093225321 = 1817424^2 + 2833389^2 .

It is not a de Polignac number, because 11331123221097 - 210 = 11331123220073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11331123221497) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47154429 + ... + 47394117.

It is an arithmetic number, because the mean of its divisors is an integer number (426119084325).

Almost surely, 211331123221097 is an apocalyptic number.

It is an amenable number.

11331123221097 is a deficient number, since it is larger than the sum of its proper divisors (5713640151903).

11331123221097 is a wasteful number, since it uses less digits than its factorization.

11331123221097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243767 (or 243758 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 11331123221097 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, two hundred twenty-one thousand, ninety-seven".

Divisors: 1 3 9 27 81 149 447 1341 3917 4023 11751 12069 35253 105759 239689 317277 583633 719067 1750899 2157201 5252697 6471603 15758091 19414809 35713661 47274273 107140983 321422949 938861813 964268847 2816585439 2892806541 8449756317 25349268951 76047806853 139890410137 419671230411 1259013691233 3777041073699 11331123221097