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111102101120 = 275612845853
BaseRepresentation
bin110011101111000110…
…0111000011010000000
3101121202220012111220002
41213132030320122000
53310014114213440
6123012315335132
711012133164153
oct1473614703200
9347686174802
10111102101120
114313326aa8a
1219647a514a8
13a62793504a
14553d70bc9a
152d53c46115
hex19de338680

111102101120 has 64 divisors (see below), whose sum is σ = 269957710440. Its totient is φ = 43712286720.

The previous prime is 111102101039. The next prime is 111102101137. The reversal of 111102101120 is 21101201111.

It can be written as a sum of positive squares in 4 ways, for example, as 19912596544 + 91189504576 = 141112^2 + 301976^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1383887 + ... + 1461966.

Almost surely, 2111102101120 is an apocalyptic number.

111102101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111102101120 is an abundant number, since it is smaller than the sum of its proper divisors (158855609320).

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

111102101120 is an equidigital number, since it uses as much as digits as its factorization.

111102101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845933 (or 2845921 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111102101120 its reverse (21101201111), we get a palindrome (132203302231).

Subtracting from 111102101120 its reverse (21101201111), we obtain a palindrome (90000900009).

The spelling of 111102101120 in words is "one hundred eleven billion, one hundred two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 640 976 1220 1952 2440 3904 4880 7808 9760 19520 39040 2845853 5691706 11383412 14229265 22766824 28458530 45533648 56917060 91067296 113834120 173597033 182134592 227668240 347194066 364269184 455336480 694388132 867985165 910672960 1388776264 1735970330 1821345920 2777552528 3471940660 5555105056 6943881320 11110210112 13887762640 22220420224 27775525280 55551050560 111102101120