Search a number
-
+
11130011310 = 2351133727307
BaseRepresentation
bin10100101110110011…
…00111111010101110
31001201200002011020010
422113121213322232
5140243240330220
65040230434050
7542545351365
oct122731477256
931650064203
1011130011310
1147a1668260
1221a7502926
131084b48312
147782747dc
154521c11e0
hex297667eae

11130011310 has 32 divisors (see below), whose sum is σ = 29140394112. Its totient is φ = 2698184480.

The previous prime is 11130011293. The next prime is 11130011317. The reversal of 11130011310 is 1311003111.

It is a super-2 number, since 2×111300113102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130011317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16863324 + ... + 16863983.

It is an arithmetic number, because the mean of its divisors is an integer number (910637316).

Almost surely, 211130011310 is an apocalyptic number.

11130011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11130011310 is an abundant number, since it is smaller than the sum of its proper divisors (18010382802).

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

11130011310 is a wasteful number, since it uses less digits than its factorization.

11130011310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33727328.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11130011310 its reverse (1311003111), we get a palindrome (12441014421).

The spelling of 11130011310 in words is "eleven billion, one hundred thirty million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 33727307 67454614 101181921 168636535 202363842 337273070 371000377 505909605 742000754 1011819210 1113001131 1855001885 2226002262 3710003770 5565005655 11130011310