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2121002010 = 23452618521
BaseRepresentation
bin111111001101011…
…1110110000011010
312110211001001210000
41332122332300122
513320434031020
6550244233430
7103363135221
oct17632766032
95424031700
102121002010
11999283226
124b239b876
1327a56239a
14161995cb8
15c6315090
hex7e6bec1a

2121002010 has 40 divisors (see below), whose sum is σ = 5703140916. Its totient is φ = 565600320.

The previous prime is 2121001997. The next prime is 2121002011. The reversal of 2121002010 is 102001212.

It can be written as a sum of positive squares in 2 ways, for example, as 2120878809 + 123201 = 46053^2 + 351^2 .

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 = 2121001983 and 2121002001.

It is not an unprimeable number, because it can be changed into a prime (2121002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1308451 + ... + 1310070.

Almost surely, 22121002010 is an apocalyptic number.

2121002010 is an abundant number, since it is smaller than the sum of its proper divisors (3582138906).

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

2121002010 is a wasteful number, since it uses less digits than its factorization.

2121002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618540 (or 2618531 counting only the distinct ones).

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

The square root of 2121002010 is about 46054.3375807317. The cubic root of 2121002010 is about 1284.8340179360.

Adding to 2121002010 its reverse (102001212), we get a palindrome (2223003222).

The spelling of 2121002010 in words is "two billion, one hundred twenty-one million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2618521 5237042 7855563 13092605 15711126 23566689 26185210 39277815 47133378 70700067 78555630 117833445 141400134 212100201 235666890 353500335 424200402 707000670 1060501005 2121002010