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1099133118 = 233291993527
BaseRepresentation
bin100000110000011…
…0111000010111110
32211121012202012000
41001200313002332
54222334224433
6301022123130
736144322506
oct10140670276
92747182160
101099133118
11514482a86
122681204a6
13146939235
14a5d94a06
1566764113
hex418370be

1099133118 has 64 divisors (see below), whose sum is σ = 2540160000. Its totient is φ = 351866592.

The previous prime is 1099133111. The next prime is 1099133129. The reversal of 1099133118 is 8113319901.

It is a super-2 number, since 2×10991331182 = 2416187222168803848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099133111) 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, 309871 + ... + 313397.

It is an arithmetic number, because the mean of its divisors is an integer number (39690000).

Almost surely, 21099133118 is an apocalyptic number.

1099133118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099133118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080000).

1099133118 is an abundant number, since it is smaller than the sum of its proper divisors (1441026882).

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

1099133118 is a wasteful number, since it uses less digits than its factorization.

1099133118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1099133118 is about 33153.1765898835. The cubic root of 1099133118 is about 1032.0088729632.

The spelling of 1099133118 in words is "one billion, ninety-nine million, one hundred thirty-three thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 199 261 398 522 597 783 1194 1566 1791 3527 3582 5373 5771 7054 10581 10746 11542 17313 21162 31743 34626 51939 63486 95229 102283 103878 155817 190458 204566 306849 311634 613698 701873 920547 1403746 1841094 2105619 2761641 4211238 5523282 6316857 12633714 18950571 20354317 37901142 40708634 61062951 122125902 183188853 366377706 549566559 1099133118