Search a number
-
+
1100321112 = 2331121119753
BaseRepresentation
bin100000110010101…
…1001000101011000
32211200110002210210
41001211121011120
54223140233422
6301103411120
736160401162
oct10145310530
92750402723
101100321112
115151145a0
122685b3aa0
13146c63ba7
14a61c3932
15668eb10c
hex41959158

1100321112 has 64 divisors (see below), whose sum is σ = 3015250560. Its totient is φ = 331833600.

The previous prime is 1100321093. The next prime is 1100321119. The reversal of 1100321112 is 2111230011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100321119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45828 + ... + 65580.

It is an arithmetic number, because the mean of its divisors is an integer number (47113290).

Almost surely, 21100321112 is an apocalyptic number.

1100321112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507625280).

1100321112 is an abundant number, since it is smaller than the sum of its proper divisors (1914929448).

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

1100321112 is a wasteful number, since it uses less digits than its factorization.

1100321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19984 (or 19980 counting only the distinct ones).

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

The square root of 1100321112 is about 33171.0884958574. The cubic root of 1100321112 is about 1032.3805534208.

Adding to 1100321112 its reverse (2111230011), we get a palindrome (3211551123).

The spelling of 1100321112 in words is "one billion, one hundred million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 211 264 422 633 844 1266 1688 2321 2532 4642 5064 6963 9284 13926 18568 19753 27852 39506 55704 59259 79012 118518 158024 217283 237036 434566 474072 651849 869132 1303698 1738264 2607396 4167883 5214792 8335766 12503649 16671532 25007298 33343064 45846713 50014596 91693426 100029192 137540139 183386852 275080278 366773704 550160556 1100321112