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109829800116 = 22326745534743
BaseRepresentation
bin110011001001001011…
…1011100000010110100
3101111111020010221000200
41212102113130002310
53244412412100431
6122242145440500
710635453616611
oct1462227340264
9344436127020
10109829800116
1142640071453
1219351940130
13a48417790a
14545c75b508
152ccc1c7ee6
hex19925dc0b4

109829800116 has 36 divisors (see below), whose sum is σ = 281768995872. Its totient is φ = 36063515664.

The previous prime is 109829800039. The next prime is 109829800121. The reversal of 109829800116 is 611008928901.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1098298001162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22764960 + ... + 22769783.

It is an arithmetic number, because the mean of its divisors is an integer number (7826916552).

Almost surely, 2109829800116 is an apocalyptic number.

It is an amenable number.

109829800116 is an abundant number, since it is smaller than the sum of its proper divisors (171939195756).

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

109829800116 is a wasteful number, since it uses less digits than its factorization.

109829800116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45534820 (or 45534815 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 109829800116 in words is "one hundred nine billion, eight hundred twenty-nine million, eight hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 45534743 91069486 136604229 182138972 273208458 409812687 546416916 819625374 1639250748 3050827781 6101655562 9152483343 12203311124 18304966686 27457450029 36609933372 54914900058 109829800116