Search a number
-
+
2121210030 = 235314155631
BaseRepresentation
bin111111001101111…
…0001100010101110
312110211102122010110
41332123301202232
513321012210110
6550252520450
7103364662542
oct17633614256
95424378113
102121210030
11999405545
124b2480126
1327a605c84
14161a0ba22
15c6356a20
hex7e6f18ae

2121210030 has 64 divisors (see below), whose sum is σ = 5383397376. Its totient is φ = 534048000.

The previous prime is 2121210019. The next prime is 2121210059. The reversal of 2121210030 is 300121212.

It is a super-3 number, since 3×21212100303 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121209988 and 2121210015.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10315 + ... + 65945.

It is an arithmetic number, because the mean of its divisors is an integer number (84115584).

Almost surely, 22121210030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121210030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691698688).

2121210030 is an abundant number, since it is smaller than the sum of its proper divisors (3262187346).

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

2121210030 is a wasteful number, since it uses less digits than its factorization.

2121210030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55713.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2121210030 is about 46056.5959445550. The cubic root of 2121210030 is about 1284.8760204791.

Adding to 2121210030 its reverse (300121212), we get a palindrome (2421331242).

The spelling of 2121210030 in words is "two billion, one hundred twenty-one million, two hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 41 62 82 93 123 155 186 205 246 310 410 465 615 930 1230 1271 2542 3813 6355 7626 12710 19065 38130 55631 111262 166893 278155 333786 556310 834465 1668930 1724561 2280871 3449122 4561742 5173683 6842613 8622805 10347366 11404355 13685226 17245610 22808710 25868415 34213065 51736830 68426130 70707001 141414002 212121003 353535005 424242006 707070010 1060605015 2121210030