Search a number
-
+
10200010212 = 223474497359
BaseRepresentation
bin10010111111111011…
…11100110111100100
3222022212010012120000
421133331330313210
5131342200311322
64404045341300
7510523441050
oct113775746744
928285105500
1010200010212
114364704707
121b87b67830
13c67279302
146ca948c60
153ea71a3ac
hex25ff7cde4

10200010212 has 60 divisors (see below), whose sum is σ = 30474111360. Its totient is φ = 2914287984.

The previous prime is 10200010193. The next prime is 10200010283. The reversal of 10200010212 is 21201000201.

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 = 10200010194 and 10200010203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2246412 + ... + 2250947.

It is an arithmetic number, because the mean of its divisors is an integer number (507901856).

Almost surely, 210200010212 is an apocalyptic number.

10200010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200010212 is an abundant number, since it is smaller than the sum of its proper divisors (20274101148).

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

10200010212 is a wasteful number, since it uses less digits than its factorization.

10200010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497382 (or 4497371 counting only the distinct ones).

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

Adding to 10200010212 its reverse (21201000201), we get a palindrome (31401010413).

The spelling of 10200010212 in words is "ten billion, two hundred million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 4497359 8994718 13492077 17989436 26984154 31481513 40476231 53968308 62963026 80952462 94444539 121428693 125926052 161904924 188889078 242857386 283333617 364286079 377778156 485714772 566667234 728572158 850000851 1133334468 1457144316 1700001702 2550002553 3400003404 5100005106 10200010212