Search a number
-
+
111110100000221 = 721492336130389
BaseRepresentation
bin11001010000110111010110…
…000010101001110111011101
3112120102000120220112201111002
4121100313112002221313131
5104030411441100001341
61032151135243240045
732255303600032100
oct3120672602516735
9476360526481432
10111110100000221
113244858a8a7903
1210565a6b819025
1349cc8396aa80a
141d61a8695c737
15cca366c2629b
hex650dd60a9ddd

111110100000221 has 36 divisors (see below), whose sum is σ = 130166798518260. Its totient is φ = 94566794757120.

The previous prime is 111110100000187. The next prime is 111110100000281. The reversal of 111110100000221 is 122000001011111.

Adding to 111110100000221 its reverse (122000001011111), we get a palindrome (233110101011332).

It can be written as a sum of positive squares in 6 ways, for example, as 4528324416196 + 106581775584025 = 2127986^2 + 10323845^2 .

It is a de Polignac number, because none of the positive numbers 2k-111110100000221 is a prime.

It is a super-2 number, since 2×1111101000002212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111110100000281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3656245295 + ... + 3656275683.

It is an arithmetic number, because the mean of its divisors is an integer number (3615744403285).

Almost surely, 2111110100000221 is an apocalyptic number.

It is an amenable number.

111110100000221 is a deficient number, since it is larger than the sum of its proper divisors (19056698518039).

111110100000221 is an equidigital number, since it uses as much as digits as its factorization.

111110100000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34062 (or 33906 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

The spelling of 111110100000221 in words is "one hundred eleven trillion, one hundred ten billion, one hundred million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 49 149 1043 3361 7301 22201 23527 30389 155407 164689 212723 500789 1087849 1489061 3505523 4527961 24538661 31695727 74617561 102137429 221870089 522322927 674666189 714962003 3656260489 4722663323 5004734021 15218476921 33058643261 106529338447 745705369129 2267553061229 15872871428603 111110100000221