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2121013818 = 2327111530313
BaseRepresentation
bin111111001101100…
…0001101000111010
312110211001122222100
41332123001220322
513320434420233
6550244404230
7103363214520
oct17633015072
95424048870
102121013818
11999291090
124b23a6676
1327a567881
1416199a310
15c6318813
hex7e6c1a3a

2121013818 has 48 divisors (see below), whose sum is σ = 5729495616. Its totient is φ = 550912320.

The previous prime is 2121013777. The next prime is 2121013819. The reversal of 2121013818 is 8183101212.

It is a super-2 number, since 2×21210138182 = 8997399232293874248, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2121013791 and 2121013800.

It is not an unprimeable number, because it can be changed into a prime (2121013819) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 763771 + ... + 766542.

It is an arithmetic number, because the mean of its divisors is an integer number (119364492).

Almost surely, 22121013818 is an apocalyptic number.

2121013818 is an abundant number, since it is smaller than the sum of its proper divisors (3608481798).

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

2121013818 is a wasteful number, since it uses less digits than its factorization.

2121013818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530339 (or 1530336 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 2121013818 is about 46054.4657769472. The cubic root of 2121013818 is about 1284.8364022323.

The spelling of 2121013818 in words is "two billion, one hundred twenty-one million, thirteen thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 1530313 3060626 4590939 9181878 10712191 13772817 16833443 21424382 27545634 32136573 33666886 50500329 64273146 96409719 101000658 117834101 151500987 192819438 235668202 303001974 353502303 707004606 1060506909 2121013818