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1101323314 = 272132292293
BaseRepresentation
bin100000110100100…
…1101110000110010
32211202100000120101
41001221031300302
54223414321224
6301141103014
736202044100
oct10151156062
92752300511
101101323314
11515739563
122689b7a6a
13147225100
14a63a4c70
1566a48044
hex41a4dc32

1101323314 has 72 divisors (see below), whose sum is σ = 2153584260. Its totient is φ = 420481152.

The previous prime is 1101323297. The next prime is 1101323357. The reversal of 1101323314 is 4133231011.

It can be written as a sum of positive squares in 6 ways, for example, as 95355225 + 1005968089 = 9765^2 + 31717^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1101323291 and 1101323300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479152 + ... + 481444.

Almost surely, 21101323314 is an apocalyptic number.

1101323314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1101323314 is a deficient number, since it is larger than the sum of its proper divisors (1052260946).

1101323314 is a wasteful number, since it uses less digits than its factorization.

1101323314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1101323314 is about 33186.1916163937. The cubic root of 1101323314 is about 1032.6938982777.

Adding to 1101323314 its reverse (4133231011), we get a palindrome (5234554325).

It can be divided in two parts, 1101 and 323314, that added together give a triangular number (324415 = T805).

The spelling of 1101323314 in words is "one billion, one hundred one million, three hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 26 29 49 58 91 98 169 182 203 338 377 406 637 754 1183 1274 1421 2293 2366 2639 2842 4586 4901 5278 8281 9802 16051 16562 18473 29809 32102 34307 36946 59618 66497 68614 112357 132994 208663 224714 240149 387517 417326 465479 480298 775034 864461 930958 1460641 1728922 2712619 2921282 3258353 5425238 6051227 6516706 11237993 12102454 18988333 22475986 37976666 42358589 78665951 84717178 157331902 550661657 1101323314