Search a number
-
+
12130103101110 = 235653619198729
BaseRepresentation
bin1011000010000100001001…
…1111001000011010110110
31120221121220202000102112220
42300201002133020122312
53042214422343213420
641444254211023210
72361241156066131
oct260410237103266
946847822012486
1012130103101110
113957390a73365
12143aa8ab9ab06
1369cb2ca52597
142dd158a45218
151607e9d4c840
hexb08427c86b6

12130103101110 has 32 divisors (see below), whose sum is σ = 29156829798240. Its totient is φ = 3229740565248.

The previous prime is 12130103101073. The next prime is 12130103101111. The reversal of 12130103101110 is 1110130103121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12130103101110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130103101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309579775 + ... + 309618954.

It is an arithmetic number, because the mean of its divisors is an integer number (911150931195).

Almost surely, 212130103101110 is an apocalyptic number.

12130103101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12130103101110 is an abundant number, since it is smaller than the sum of its proper divisors (17026726697130).

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

12130103101110 is a wasteful number, since it uses less digits than its factorization.

12130103101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619199392.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 12130103101110 its reverse (1110130103121), we get a palindrome (13240233204231).

The spelling of 12130103101110 in words is "twelve trillion, one hundred thirty billion, one hundred three million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 653 1306 1959 3265 3918 6530 9795 19590 619198729 1238397458 1857596187 3095993645 3715192374 6191987290 9287980935 18575961870 404336770037 808673540074 1213010310111 2021683850185 2426020620222 4043367700370 6065051550555 12130103101110