Search a number
-
+
12300111100313 = 137757269943943
BaseRepresentation
bin1011001011111101011111…
…0000001011100110011001
31121112212201220001121111222
42302333113300023212121
53103011111420202223
642054332032301425
72406440135201441
oct262772760134631
947485656047458
1012300111100313
113a124a2064443
121467a163a1875
136b2b8454a60a
143074857a1121
15164e4a2280c8
hexb2fd7c0b999

12300111100313 has 16 divisors (see below), whose sum is σ = 12411139075200. Its totient is φ = 12189403933056.

The previous prime is 12300111100271. The next prime is 12300111100367. The reversal of 12300111100313 is 31300111100321.

It is a cyclic number.

It is not a de Polignac number, because 12300111100313 - 216 = 12300111034777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12300111100291 and 12300111100300.

It is not an unprimeable number, because it can be changed into a prime (12300111100393) 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, 279888620 + ... + 279932562.

It is an arithmetic number, because the mean of its divisors is an integer number (775696192200).

Almost surely, 212300111100313 is an apocalyptic number.

It is an amenable number.

12300111100313 is a deficient number, since it is larger than the sum of its proper divisors (111027974887).

12300111100313 is a wasteful number, since it uses less digits than its factorization.

12300111100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47536.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 12300111100313 its reverse (31300111100321), we get a palindrome (43600222200634).

The spelling of 12300111100313 in words is "twelve trillion, three hundred billion, one hundred eleven million, one hundred thousand, three hundred thirteen".

Divisors: 1 137 757 2699 43943 103709 369763 2043143 6020191 33264851 118602157 279910591 4557284587 16248495509 89781832849 12300111100313