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1099900112 = 242341269271
BaseRepresentation
bin100000110001111…
…0010010011010000
32211122122201022012
41001203302103100
54223033300422
6301050402052
736153665603
oct10143622320
92748581265
101099900112
11514957263
12268430328
13146b4738c
14a611433a
15668664e2
hex418f24d0

1099900112 has 80 divisors (see below), whose sum is σ = 2294853120. Its totient is φ = 509414400.

The previous prime is 1099900103. The next prime is 1099900117. The reversal of 1099900112 is 2110099901.

It is a super-2 number, since 2×10999001122 = 2419560512755225088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099900117) 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, 4058537 + ... + 4058807.

It is an arithmetic number, because the mean of its divisors is an integer number (28685664).

Almost surely, 21099900112 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 1099900112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147426560).

1099900112 is an abundant number, since it is smaller than the sum of its proper divisors (1194953008).

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

1099900112 is a wasteful number, since it uses less digits than its factorization.

1099900112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 32.

The square root of 1099900112 is about 33164.7420011071. The cubic root of 1099900112 is about 1032.2488683299.

The spelling of 1099900112 in words is "one billion, ninety-nine million, nine hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 269 271 328 368 538 542 656 943 1076 1084 1886 2152 2168 3772 4304 4336 6187 6233 7544 11029 11111 12374 12466 15088 22058 22222 24748 24932 44116 44444 49496 49864 72899 88232 88888 98992 99728 145798 176464 177776 253667 255553 291596 507334 511106 583192 1014668 1022212 1166384 1676677 2029336 2044424 2988859 3353354 4058672 4088848 5977718 6706708 11955436 13413416 23910872 26826832 47821744 68743757 137487514 274975028 549950056 1099900112