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12303002003123 = 13196719112973001
BaseRepresentation
bin1011001100001000010000…
…0100000110011010110011
31121120011012100210200122102
42303002010010012122303
53103033022003044443
642055530542331015
72406601600362506
oct263020404063263
947504170720572
1012303002003123
113a1374598a517
1214684a2589a6b
136b32254546b0
1430767b6c913d
15165068e1bcb8
hexb30841066b3

12303002003123 has 64 divisors (see below), whose sum is σ = 14244708065280. Its totient is φ = 10531192320000.

The previous prime is 12303002003119. The next prime is 12303002003141. The reversal of 12303002003123 is 32130020030321.

It is not a de Polignac number, because 12303002003123 - 22 = 12303002003119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12303002003095 and 12303002003104.

It is not an unprimeable number, because it can be changed into a prime (12303002000123) 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 63 ways as a sum of consecutive naturals, for example, 4099632623 + ... + 4099635623.

It is an arithmetic number, because the mean of its divisors is an integer number (222573563520).

Almost surely, 212303002003123 is an apocalyptic number.

12303002003123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12303002003123 is a deficient number, since it is larger than the sum of its proper divisors (1941706062157).

12303002003123 is a wasteful number, since it uses less digits than its factorization.

12303002003123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12303002003123 its reverse (32130020030321), we get a palindrome (44433022033444).

The spelling of 12303002003123 in words is "twelve trillion, three hundred three billion, two million, three thousand, one hundred twenty-three".

Divisors: 1 13 19 67 191 247 871 1273 1297 2483 3001 3629 12797 16549 16861 24643 39013 47177 57019 86899 166361 201067 243143 247727 320359 573191 741247 1129687 1651081 2613871 3160859 3220451 3820273 3892297 4706813 7451483 10890629 16597709 21464053 38403797 49663549 50599861 61188569 73953643 141578177 215770217 260783899 315356471 499249361 729672143 743428727 961397359 3390190687 4099634123 4954894081 9485737859 9664573451 14125145813 49809724709 64413623053 183626895569 647526421217 946384769471 12303002003123