Search a number
-
+
1330110022221 = 321744211966417
BaseRepresentation
bin10011010110110000101…
…111000100001001001101
311201011020122200001201100
4103112300233010021031
5133243031131202341
62455013305533313
7165045236433621
oct23266057041115
94634218601640
101330110022221
11473107482582
1219594b1a4239
1398576201a36
1448540473181
15248ec5333b6
hex135b0bc424d

1330110022221 has 24 divisors (see below), whose sum is σ = 2034747092664. Its totient is φ = 834389637120.

The previous prime is 1330110022177. The next prime is 1330110022229. The reversal of 1330110022221 is 1222200110331.

1330110022221 is a `hidden beast` number, since 1 + 330 + 110 + 0 + 2 + 2 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 995233692996 + 334876329225 = 997614^2 + 578685^2 .

It is not a de Polignac number, because 1330110022221 - 210 = 1330110021197 is a prime.

It is a super-2 number, since 2×13301100222212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1330110022194 and 1330110022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330110022229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306796 + ... + 1659621.

It is an arithmetic number, because the mean of its divisors is an integer number (84781128861).

Almost surely, 21330110022221 is an apocalyptic number.

It is an amenable number.

1330110022221 is a deficient number, since it is larger than the sum of its proper divisors (704637070443).

1330110022221 is a wasteful number, since it uses less digits than its factorization.

1330110022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970861 (or 1970858 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1330110022221 its reverse (1222200110331), we get a palindrome (2552310132552).

The spelling of 1330110022221 in words is "one trillion, three hundred thirty billion, one hundred ten million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 4421 13263 39789 75157 225471 676413 1966417 5899251 17697753 33429089 100287267 300861801 8693529557 26080588671 78241766013 147790002469 443370007407 1330110022221