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123314331230505 = 32573332797113989
BaseRepresentation
bin11100000010011101011010…
…111010001010000100101001
3121011121201211202201021112200
4130002131122322022010221
5112130340222243334010
61114133453253330413
734655111040624012
oct3402353272120451
9534551752637480
10123314331230505
11363233501aa838
12119b7188036a09
1353a6650bab20c
142264634564009
15e3ca4e7b8cc0
hex70275ae8a129

123314331230505 has 48 divisors (see below), whose sum is σ = 214044847433040. Its totient is φ = 65675340670464.

The previous prime is 123314331230477. The next prime is 123314331230543. The reversal of 123314331230505 is 505032133413321.

123314331230505 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 14 + 331 + 2 + 305 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 72689811292224 + 50624519938281 = 8525832^2 + 7115091^2 .

It is not a de Polignac number, because 123314331230505 - 25 = 123314331230473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123314331230505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081752051 + ... + 1081866039.

It is an arithmetic number, because the mean of its divisors is an integer number (4459267654855).

Almost surely, 2123314331230505 is an apocalyptic number.

123314331230505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123314331230505 is a deficient number, since it is larger than the sum of its proper divisors (90730516202535).

123314331230505 is a wasteful number, since it uses less digits than its factorization.

123314331230505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147530 (or 147527 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 123314331230505 its reverse (505032133413321), we get a palindrome (628346464643826).

The spelling of 123314331230505 in words is "one hundred twenty-three trillion, three hundred fourteen billion, three hundred thirty-one million, two hundred thirty thousand, five hundred five".

Divisors: 1 3 5 9 15 45 733 2199 3665 6597 10995 32797 32985 98391 113989 163985 295173 341967 491955 569945 1025901 1475865 1709835 5129505 24040201 72120603 83553937 120201005 216361809 250661811 360603015 417769685 751985433 1081809045 1253309055 3738497233 3759927165 11215491699 18692486165 33646475097 56077458495 168232375485 2740318471789 8220955415367 13701592358945 24662866246101 41104777076835 123314331230505