Search a number
-
+
10212310220 = 2257103970207
BaseRepresentation
bin10011000001011001…
…10111110011001100
3222100201021002222212
421200230313303030
5131403322411340
64405205125552
7511033130120
oct114054676314
928321232885
1010212310220
114370645902
121b900b98b8
13c69994a18
146cc42b580
153eb849a65
hex260b37ccc

10212310220 has 48 divisors (see below), whose sum is σ = 24533483520. Its totient is φ = 3497943744.

The previous prime is 10212310219. The next prime is 10212310237. The reversal of 10212310220 is 2201321201.

It is a happy number.

10212310220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10212310195 and 10212310204.

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 15 ways as a sum of consecutive naturals, for example, 110357 + ... + 180563.

It is an arithmetic number, because the mean of its divisors is an integer number (511114240).

Almost surely, 210212310220 is an apocalyptic number.

10212310220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212310220 is an abundant number, since it is smaller than the sum of its proper divisors (14321173300).

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

10212310220 is a wasteful number, since it uses less digits than its factorization.

10212310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71262 (or 71260 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10212310220 its reverse (2201321201), we get a palindrome (12413631421).

The spelling of 10212310220 in words is "ten billion, two hundred twelve million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1039 2078 4156 5195 7273 10390 14546 20780 29092 36365 70207 72730 140414 145460 280828 351035 491449 702070 982898 1404140 1965796 2457245 4914490 9828980 72945073 145890146 291780292 364725365 510615511 729450730 1021231022 1458901460 2042462044 2553077555 5106155110 10212310220