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10110000110985 = 34589280482733
BaseRepresentation
bin1001001100011110101011…
…1101110001110110001001
31022210111200021211212110000
42103013222331301312021
52311120240012022420
633300245301113213
72062265141016315
oct223075275616611
938714607755400
1010110000110985
11324869954a555
1211734766b8809
135844a4693aa8
1426d480340b45
15127eb705d690
hex931eaf71d89

10110000110985 has 40 divisors (see below), whose sum is σ = 18326741839560. Its totient is φ = 5331415769856.

The previous prime is 10110000110789. The next prime is 10110000110989. The reversal of 10110000110985 is 58901100001101.

It can be written as a sum of positive squares in 4 ways, for example, as 211243190544 + 9898756920441 = 459612^2 + 3146229^2 .

It is not a de Polignac number, because 10110000110985 - 213 = 10110000102793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10110000110989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140205322 + ... + 140277411.

It is an arithmetic number, because the mean of its divisors is an integer number (458168545989).

Almost surely, 210110000110985 is an apocalyptic number.

10110000110985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10110000110985 is a deficient number, since it is larger than the sum of its proper divisors (8216741728575).

10110000110985 is an equidigital number, since it uses as much as digits as its factorization.

10110000110985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280482839 (or 280482830 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

The spelling of 10110000110985 in words is "ten trillion, one hundred ten billion, one hundred ten thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 89 135 267 405 445 801 1335 2403 4005 7209 12015 36045 280482733 841448199 1402413665 2524344597 4207240995 7573033791 12621722985 22719101373 24962963237 37865168955 74888889711 113595506865 124814816185 224666669133 374444448555 674000007399 1123333345665 2022000022197 3370000036995 10110000110985