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12130011003 = 3111721622123
BaseRepresentation
bin10110100110000000…
…10100011101111011
31011022100202101220210
423103000110131323
5144320240323003
65323352122203
7606410251365
oct132300243573
934270671823
1012130011003
115165090890
122426396363
1311b4085306
14830dc1d35
154aeda2503
hex2d301477b

12130011003 has 16 divisors (see below), whose sum is σ = 18681515136. Its totient is φ = 6919079040.

The previous prime is 12130010983. The next prime is 12130011041. The reversal of 12130011003 is 30011003121.

12130011003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12130011003 - 26 = 12130010939 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12130011003.

It is not an unprimeable number, because it can be changed into a prime (12130011043) 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 15 ways as a sum of consecutive naturals, for example, 10810501 + ... + 10811622.

It is an arithmetic number, because the mean of its divisors is an integer number (1167594696).

Almost surely, 212130011003 is an apocalyptic number.

12130011003 is a deficient number, since it is larger than the sum of its proper divisors (6551504133).

12130011003 is a wasteful number, since it uses less digits than its factorization.

12130011003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21622154.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12130011003 its reverse (30011003121), we get a palindrome (42141014124).

It can be divided in two parts, 121 and 30011003, that multiplied together give a palindrome (3631331363).

The spelling of 12130011003 in words is "twelve billion, one hundred thirty million, eleven thousand, three".

Divisors: 1 3 11 17 33 51 187 561 21622123 64866369 237843353 367576091 713530059 1102728273 4043337001 12130011003