Search a number
-
+
123013303011 = 321915719323741
BaseRepresentation
bin111001010010000101…
…0100000101011100011
3102202112000020021010200
41302210022200223203
54003412401144021
6132302254000243
711613245552244
oct1624412405343
9382460207120
10123013303011
1148195891295
121ba10aa6083
13b7a55789c1
145d4d612ccb
1532ee7c6126
hex1ca42a0ae3

123013303011 has 48 divisors (see below), whose sum is σ = 189212343840. Its totient is φ = 76794531840.

The previous prime is 123013303009. The next prime is 123013303019. The reversal of 123013303011 is 110303310321.

It is a happy number.

123013303011 is a `hidden beast` number, since 1 + 2 + 30 + 1 + 330 + 301 + 1 = 666.

It is not a de Polignac number, because 123013303011 - 21 = 123013303009 is a prime.

It is a super-2 number, since 2×1230133030112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123013303019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5169601 + ... + 5193341.

It is an arithmetic number, because the mean of its divisors is an integer number (3941923830).

Almost surely, 2123013303011 is an apocalyptic number.

123013303011 is a deficient number, since it is larger than the sum of its proper divisors (66199040829).

123013303011 is a wasteful number, since it uses less digits than its factorization.

123013303011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24116 (or 24113 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 123013303011 its reverse (110303310321), we get a palindrome (233316613332).

The spelling of 123013303011 in words is "one hundred twenty-three billion, thirteen million, three hundred three thousand, eleven".

Divisors: 1 3 9 19 57 157 171 193 471 579 1413 1737 2983 3667 8949 11001 23741 26847 30301 33003 71223 90903 213669 272709 451079 575719 1353237 1727157 3727337 4059711 4582013 5181471 11182011 13746039 33546033 41238117 70819403 87058247 212458209 261174741 637374627 719376041 783524223 2158128123 6474384369 13668144779 41004434337 123013303011