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1100323312 = 241123674057
BaseRepresentation
bin100000110010101…
…1001100111110000
32211200110012211021
41001211121213300
54223140321222
6301103425224
736160410454
oct10145314760
92750405737
101100323312
11515116210
122685b5214
13146c64baa
14a61c4664
15668ebac7
hex419599f0

1100323312 has 80 divisors (see below), whose sum is σ = 2463628032. Its totient is φ = 471144960.

The previous prime is 1100323291. The next prime is 1100323313. The reversal of 1100323312 is 2133230011.

It is a super-2 number, since 2×11003233122 = 2421422781861298688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100323313) 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, 269188 + ... + 273244.

Almost surely, 21100323312 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 1100323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231814016).

1100323312 is an abundant number, since it is smaller than the sum of its proper divisors (1363304720).

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

1100323312 is a wasteful number, since it uses less digits than its factorization.

1100323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1100323312 is about 33171.1216572488. The cubic root of 1100323312 is about 1032.3812414732.

Adding to 1100323312 its reverse (2133230011), we get a palindrome (3233553323).

The spelling of 1100323312 in words is "one billion, one hundred million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 67 88 92 134 176 184 253 268 368 506 536 737 1012 1072 1474 1541 2024 2948 3082 4048 4057 5896 6164 8114 11792 12328 16228 16951 24656 32456 33902 44627 64912 67804 89254 93311 135608 178508 186622 271216 271819 357016 373244 543638 714032 746488 1026421 1087276 1492976 2052842 2174552 2990009 4105684 4349104 5980018 6251837 8211368 11960036 12503674 16422736 23920072 25007348 47840144 50014696 68770207 100029392 137540414 275080828 550161656 1100323312