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2121020010 = 232523566889
BaseRepresentation
bin111111001101100…
…0011001001101010
312110211001222110200
41332123003021222
513320440120020
6550244453030
7103363241544
oct17633031152
95424058420
102121020010
119992957aa
124b23aa176
1327a56a635
1416199c694
15c631a590
hex7e6c326a

2121020010 has 24 divisors (see below), whose sum is σ = 5514652260. Its totient is φ = 565605312.

The previous prime is 2121019997. The next prime is 2121020039. The reversal of 2121020010 is 100201212.

It can be written as a sum of positive squares in 2 ways, for example, as 2053993041 + 67026969 = 45321^2 + 8187^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2121019974 and 2121020001.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11783355 + ... + 11783534.

Almost surely, 22121020010 is an apocalyptic number.

2121020010 is an abundant number, since it is smaller than the sum of its proper divisors (3393632250).

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

2121020010 is a wasteful number, since it uses less digits than its factorization.

2121020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23566902 (or 23566899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2121020010 is about 46054.5330016493. The cubic root of 2121020010 is about 1284.8376525305.

Adding to 2121020010 its reverse (100201212), we get a palindrome (2221221222).

The spelling of 2121020010 in words is "two billion, one hundred twenty-one million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23566889 47133778 70700667 117834445 141401334 212102001 235668890 353503335 424204002 707006670 1060510005 2121020010