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2160127060200 = 2332521200070589
BaseRepresentation
bin11111011011110001100…
…110110010100011101000
321122111122222011022210100
4133123301212302203220
5240342420011411300
64332203151345400
7312030651026124
oct37336146624350
97574588138710
102160127060200
1176311745817a
122aa792222260
13128911c2a635
147679d1da584
153b2cabb7700
hex1f6f19b28e8

2160127060200 has 72 divisors (see below), whose sum is σ = 7254426716550. Its totient is φ = 576033882240.

The previous prime is 2160127060183. The next prime is 2160127060207. The reversal of 2160127060200 is 20607210612.

It can be written as a sum of positive squares in 3 ways, for example, as 1088020058724 + 1072107001476 = 1043082^2 + 1035426^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×21601270602002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2160127060207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 600033495 + ... + 600037094.

Almost surely, 22160127060200 is an apocalyptic number.

2160127060200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2160127060200 is an abundant number, since it is smaller than the sum of its proper divisors (5094299656350).

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

2160127060200 is a wasteful number, since it uses less digits than its factorization.

2160127060200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200070611 (or 1200070599 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 2160127060200 in words is "two trillion, one hundred sixty billion, one hundred twenty-seven million, sixty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1200070589 2400141178 3600211767 4800282356 6000352945 7200423534 9600564712 10800635301 12000705890 14400847068 18001058835 21601270602 24001411780 28801694136 30001764725 36002117670 43202541204 48002823560 54003176505 60003529450 72004235340 86405082408 90005294175 108006353010 120007058900 144008470680 180010588350 216012706020 240014117800 270015882525 360021176700 432025412040 540031765050 720042353400 1080063530100 2160127060200