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2112131666240 = 2656600411457
BaseRepresentation
bin11110101111000100110…
…110111001000101000000
321110220210002100200200122
4132233010312321011000
5234101121201304430
64254144435435412
7305411406640631
oct36570466710500
97426702320618
102112131666240
11744828298332
122a1418755b68
1312423358863b
1474328c03888
1539e1c2e4ee5
hex1ebc4db9140

2112131666240 has 28 divisors (see below), whose sum is σ = 5029513530996. Its totient is φ = 844852666368.

The previous prime is 2112131666221. The next prime is 2112131666243. The reversal of 2112131666240 is 426661312112.

It can be written as a sum of positive squares in 2 ways, for example, as 1328892506176 + 783239160064 = 1152776^2 + 885008^2 .

It is a super-2 number, since 2×21121316662402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112131666240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112131666243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3300205409 + ... + 3300206048.

Almost surely, 22112131666240 is an apocalyptic number.

2112131666240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112131666240 is an abundant number, since it is smaller than the sum of its proper divisors (2917381864756).

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

2112131666240 is an equidigital number, since it uses as much as digits as its factorization.

2112131666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600411474 (or 6600411464 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

Adding to 2112131666240 its reverse (426661312112), we get a palindrome (2538792978352).

The spelling of 2112131666240 in words is "two trillion, one hundred twelve billion, one hundred thirty-one million, six hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6600411457 13200822914 26401645828 33002057285 52803291656 66004114570 105606583312 132008229140 211213166624 264016458280 422426333248 528032916560 1056065833120 2112131666240