Search a number
-
+
11113241202 = 2337613491381
BaseRepresentation
bin10100101100110011…
…01001101001110010
31001200111112010222000
422112121221221302
5140224442204302
65034431154430
7542252664060
oct122631515162
931614463860
1011113241202
114793153668
1221a1975a16
13108152608b
14775d4b030
154509ac31c
hex296669a72

11113241202 has 128 divisors (see below), whose sum is σ = 28789824000. Its totient is φ = 3111955200.

The previous prime is 11113241201. The next prime is 11113241233. The reversal of 11113241202 is 20214231111.

11113241202 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 (18).

It is not an unprimeable number, because it can be changed into a prime (11113241201) 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 63 ways as a sum of consecutive naturals, for example, 8046552 + ... + 8047932.

It is an arithmetic number, because the mean of its divisors is an integer number (224920500).

Almost surely, 211113241202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11113241202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394912000).

11113241202 is an abundant number, since it is smaller than the sum of its proper divisors (17676582798).

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

11113241202 is a wasteful number, since it uses less digits than its factorization.

11113241202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11113241202 its reverse (20214231111), we get a palindrome (31327472313).

The spelling of 11113241202 in words is "eleven billion, one hundred thirteen million, two hundred forty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 349 366 378 427 549 698 854 1047 1098 1281 1381 1647 2094 2443 2562 2762 3141 3294 3843 4143 4886 6282 7329 7686 8286 9423 9667 11529 12429 14658 18846 19334 21289 21987 23058 24858 29001 37287 42578 43974 58002 63867 65961 74574 84241 87003 127734 131922 149023 168482 174006 191601 252723 261009 298046 383202 447069 481969 505446 522018 574803 589687 758169 894138 963938 1149606 1179374 1341207 1445907 1516338 1769061 2274507 2682414 2891814 3373783 3538122 4023621 4337721 4549014 5307183 6747566 8047242 8675442 10121349 10614366 13013163 15921549 20242698 26026326 29400109 30364047 31843098 58800218 60728094 88200327 91092141 176400654 182184282 205800763 264600981 411601526 529201962 617402289 793802943 1234804578 1587605886 1852206867 3704413734 5556620601 11113241202