Search a number
-
+
1100441221 = 111929473863
BaseRepresentation
bin100000110010111…
…0110011010000101
32211200200012120021
41001211312122011
54223203104341
6301110135141
736161411305
oct10145663205
92750605507
101100441221
11515196860
122686514b1
13146ca6769
14a6215605
15669219d1
hex41976685

1100441221 has 32 divisors (see below), whose sum is σ = 1335398400. Its totient is φ = 895366080.

The previous prime is 1100441191. The next prime is 1100441227. The reversal of 1100441221 is 1221440011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100441221 - 211 = 1100439173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100441195 and 1100441204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100441227) 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, 282936 + ... + 286798.

It is an arithmetic number, because the mean of its divisors is an integer number (41731200).

Almost surely, 21100441221 is an apocalyptic number.

1100441221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100441221 is a deficient number, since it is larger than the sum of its proper divisors (234957179).

1100441221 is a wasteful number, since it uses less digits than its factorization.

1100441221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1100441221 is about 33172.8988935245. The cubic root of 1100441221 is about 1032.4181162992.

Adding to 1100441221 its reverse (1221440011), we get a palindrome (2321881232).

It can be divided in two parts, 11004 and 41221, that added together give a palindrome (52225).

The spelling of 1100441221 in words is "one billion, one hundred million, four hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 11 19 29 47 209 319 517 551 893 1363 3863 6061 9823 14993 25897 42493 73397 112027 181561 284867 807367 1232297 1997171 2128513 3449659 5265269 23413643 37946249 57917959 100040111 1100441221