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110055551140 = 225149197187469
BaseRepresentation
bin110011001111111010…
…0100111000010100100
3101112001221221021012201
41212133310213002210
53300343210114030
6122320412224244
710644164515063
oct1463764470244
9345057837181
10110055551140
1142746542547
12193b546b084
13a4bbb79bc2
1454807241da
152ce1e1c2ca
hex199fd270a4

110055551140 has 48 divisors (see below), whose sum is σ = 233850078000. Its totient is φ = 43504573952.

The previous prime is 110055551129. The next prime is 110055551159. The reversal of 110055551140 is 41155550011.

It can be written as a sum of positive squares in 8 ways, for example, as 1581493824 + 108474057316 = 39768^2 + 329354^2 .

It is a super-2 number, since 2×1100555511402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110055551099 and 110055551108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493326 + ... + 680794.

It is an arithmetic number, because the mean of its divisors is an integer number (4871876625).

Almost surely, 2110055551140 is an apocalyptic number.

110055551140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110055551140 is an abundant number, since it is smaller than the sum of its proper divisors (123794526860).

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

110055551140 is a wasteful number, since it uses less digits than its factorization.

110055551140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187824 (or 187822 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 28.

The spelling of 110055551140 in words is "one hundred ten billion, fifty-five million, five hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 149 197 298 394 596 745 788 985 1490 1970 2980 3940 29353 58706 117412 146765 187469 293530 374938 587060 749876 937345 1874690 3749380 27932881 36931393 55865762 73862786 111731524 139664405 147725572 184656965 279328810 369313930 558657620 738627860 5502777557 11005555114 22011110228 27513887785 55027775570 110055551140