Search a number
-
+
110200011012 = 223271337909151
BaseRepresentation
bin110011010100001101…
…1101011100100000100
3101112110000202120220100
41212220123223210010
53301142200323022
6122343012404100
710650600431640
oct1465033534404
9345400676810
10110200011012
1142810040373
1219435916630
13a512a89210
1454959a9c20
152cee9551ac
hex19a86eb904

110200011012 has 144 divisors (see below), whose sum is σ = 352110932992. Its totient is φ = 28278201600.

The previous prime is 110200011011. The next prime is 110200011037. The reversal of 110200011012 is 210110002011.

It is a happy number.

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 = 110200010985 and 110200011003.

It is not an unprimeable number, because it can be changed into a prime (110200011011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 333364 + ... + 575787.

Almost surely, 2110200011012 is an apocalyptic number.

110200011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110200011012 is an abundant number, since it is smaller than the sum of its proper divisors (241910921980).

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

110200011012 is a wasteful number, since it uses less digits than its factorization.

110200011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909218 (or 909213 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110200011012 its reverse (210110002011), we get a palindrome (320310013023).

Subtracting 110200011012 from its reverse (210110002011), we obtain a palindrome (99909990999).

The spelling of 110200011012 in words is "one hundred ten billion, two hundred million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 111 117 126 148 156 182 222 234 252 259 273 333 364 444 468 481 518 546 666 777 819 962 1036 1092 1332 1443 1554 1638 1924 2331 2886 3108 3276 3367 4329 4662 5772 6734 8658 9324 10101 13468 17316 20202 30303 40404 60606 121212 909151 1818302 2727453 3636604 5454906 6364057 8182359 10909812 11818963 12728114 16364718 19092171 23637926 25456228 32729436 33638587 35456889 38184342 47275852 57276513 67277174 70913778 76368684 82732741 100915761 106370667 114553026 134554348 141827556 165465482 201831522 212741334 229106052 235470109 248198223 302747283 330930964 403663044 425482668 437301631 470940218 496396446 605494566 706410327 744594669 874603262 941880436 992792892 1210989132 1311904893 1412820654 1489189338 1749206524 2119230981 2623809786 2825641308 2978378676 3061111417 3935714679 4238461962 5247619572 6122222834 7871429358 8476923924 9183334251 12244445668 15742858716 18366668502 27550002753 36733337004 55100005506 110200011012