Search a number
-
+
1102013312 = 2753612663
BaseRepresentation
bin100000110101111…
…0110001110000000
32211210122002001212
41001223312032000
54224103411222
6301203545252
736210646541
oct10153661600
92753562055
101102013312
1151606aa04
1226908b228
131474071aa
14a65044c8
1566b326e2
hex41af6380

1102013312 has 64 divisors (see below), whose sum is σ = 2274363360. Its totient is φ = 531548160.

The previous prime is 1102013309. The next prime is 1102013317. The reversal of 1102013312 is 2133102011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102013317) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 412493 + ... + 415155.

Almost surely, 21102013312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137181680).

1102013312 is an abundant number, since it is smaller than the sum of its proper divisors (1172350048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1102013312 is an equidigital number, since it uses as much as digits as its factorization.

1102013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1102013312 is about 33196.5858485477. The cubic root of 1102013312 is about 1032.9095200839.

Adding to 1102013312 its reverse (2133102011), we get a palindrome (3235115323).

The spelling of 1102013312 in words is "one billion, one hundred two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 128 212 244 424 488 848 976 1696 1952 2663 3233 3392 3904 5326 6466 6784 7808 10652 12932 21304 25864 42608 51728 85216 103456 141139 162443 170432 206912 282278 324886 340864 413824 564556 649772 1129112 1299544 2258224 2599088 4516448 5198176 8609479 9032896 10396352 17218958 18065792 20792704 34437916 68875832 137751664 275503328 551006656 1102013312