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1320100221 = 3111910320441
BaseRepresentation
bin100111010101111…
…0010000101111101
310102000000001001210
41032223302011331
510200421201341
6334554155033
744466444456
oct11653620575
93360001053
101320100221
11618186920
1230a122a79
13180654bbb
14c747412d
157ad60c16
hex4eaf217d

1320100221 has 32 divisors (see below), whose sum is σ = 2040929280. Its totient is φ = 750556800.

The previous prime is 1320100163. The next prime is 1320100253. The reversal of 1320100221 is 1220010231.

It is not a de Polignac number, because 1320100221 - 222 = 1315905917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1320100197 and 1320100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320100021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54361 + ... + 74801.

It is an arithmetic number, because the mean of its divisors is an integer number (63779040).

Almost surely, 21320100221 is an apocalyptic number.

1320100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1320100221 is a deficient number, since it is larger than the sum of its proper divisors (720829059).

1320100221 is a wasteful number, since it uses less digits than its factorization.

1320100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20577.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1320100221 is about 36333.1834691099. The cubic root of 1320100221 is about 1096.9890720464.

Adding to 1320100221 its reverse (1220010231), we get a palindrome (2540110452).

The spelling of 1320100221 in words is "one billion, three hundred twenty million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 19 33 57 103 209 309 627 1133 1957 3399 5871 20441 21527 61323 64581 224851 388379 674553 1165137 2105423 4272169 6316269 12816507 23159653 40003037 69478959 120009111 440033407 1320100221