Search a number
-
+
12303200013 = 3132274213301
BaseRepresentation
bin10110111010101001…
…11110111100001101
31011202102122022120120
423131110332330031
5200144104400023
65352500135153
7613612321536
oct133524767415
934672568516
1012303200013
1152439212a5
1224743974b9
131210c13010
14849dc568d
154c01b28e3
hex2dd53ef0d

12303200013 has 32 divisors (see below), whose sum is σ = 17791492992. Its totient is φ = 7517664000.

The previous prime is 12303199981. The next prime is 12303200023. The reversal of 12303200013 is 31000230321.

It is not a de Polignac number, because 12303200013 - 25 = 12303199981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12303199965 and 12303200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303200023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3725463 + ... + 3728763.

It is an arithmetic number, because the mean of its divisors is an integer number (555984156).

Almost surely, 212303200013 is an apocalyptic number.

12303200013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12303200013 is a deficient number, since it is larger than the sum of its proper divisors (5488292979).

12303200013 is a wasteful number, since it uses less digits than its factorization.

12303200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12303200013 its reverse (31000230321), we get a palindrome (43303430334).

The spelling of 12303200013 in words is "twelve billion, three hundred three million, two hundred thousand, thirteen".

Divisors: 1 3 13 39 227 421 681 1263 2951 3301 5473 8853 9903 16419 42913 95567 128739 286701 749327 1242371 1389721 2247981 3727113 4169163 9741251 18066373 29223753 54199119 315466667 946400001 4101066671 12303200013