Search a number
-
+
123303011311311 = 31334949431832707
BaseRepresentation
bin11100000010010010111000…
…001100000101111011001111
3121011120122121212021210200020
4130002102320030011323033
5112130144031343430221
61114124342120233223
734654230365120106
oct3402227014057317
9534518555253606
10123303011311311
1136319571422a17
12119b4b4900b813
1353a5568900390
142263c7cdb703d
15e3c5daad3ac6
hex7024b8305ecf

123303011311311 has 32 divisors (see below), whose sum is σ = 177593803699200. Its totient is φ = 75646010450304.

The previous prime is 123303011311261. The next prime is 123303011311357. The reversal of 123303011311311 is 113113110303321.

It is not a de Polignac number, because 123303011311311 - 214 = 123303011294927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123303011311391) 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, 66362820 + ... + 68195526.

It is an arithmetic number, because the mean of its divisors is an integer number (5549806365600).

Almost surely, 2123303011311311 is an apocalyptic number.

123303011311311 is a deficient number, since it is larger than the sum of its proper divisors (54290792387889).

123303011311311 is a wasteful number, since it uses less digits than its factorization.

123303011311311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838015.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 123303011311311 its reverse (113113110303321), we get a palindrome (236416121614632).

The spelling of 123303011311311 in words is "one hundred twenty-three trillion, three hundred three billion, eleven million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 3 13 39 349 1047 4537 4943 13611 14829 64259 192777 1725107 1832707 5175321 5498121 22426391 23825191 67279173 71475573 639614743 1918844229 8314991659 9059070701 24944974977 27177212103 117767919113 353303757339 3161615674649 9484847023947 41101003770437 123303011311311