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123314331230541 = 33117328320097767
BaseRepresentation
bin11100000010011101011010…
…111010001010000101001101
3121011121201211202201021121000
4130002131122322022011031
5112130340222243334131
61114133453253330513
734655111040624063
oct3402353272120515
9534551752637530
10123314331230541
11363233501aa870
12119b7188036a39
1353a6650bab239
142264634564033
15e3ca4e7b8ce6
hex70275ae8a14d

123314331230541 has 64 divisors (see below), whose sum is σ = 202739852298240. Its totient is φ = 73451707355520.

The previous prime is 123314331230477. The next prime is 123314331230543. The reversal of 123314331230541 is 145032133413321.

123314331230541 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 14 + 331 + 2 + 305 + 4 + 1 = 666.

It is not a de Polignac number, because 123314331230541 - 26 = 123314331230477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123314331230496 and 123314331230505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123314331230543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3913161 + ... + 16184606.

It is an arithmetic number, because the mean of its divisors is an integer number (3167810192160).

Almost surely, 2123314331230541 is an apocalyptic number.

123314331230541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123314331230541 is a deficient number, since it is larger than the sum of its proper divisors (79425521067699).

123314331230541 is a wasteful number, since it uses less digits than its factorization.

123314331230541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20098143 (or 20098137 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 123314331230541 its reverse (145032133413321), we get a palindrome (268346464643862).

The spelling of 123314331230541 in words is "one hundred twenty-three trillion, three hundred fourteen billion, three hundred thirty-one million, two hundred thirty thousand, five hundred forty-one".

Divisors: 1 3 9 11 27 33 73 99 219 283 297 657 803 849 1971 2409 2547 3113 7227 7641 9339 20659 21681 28017 61977 84051 185931 227249 557793 681747 2045241 6135723 20097767 60293301 180879903 221075437 542639709 663226311 1467136991 1989678933 4401410973 5687668061 5969036799 13204232919 16138506901 17063004183 39612698757 48415520703 51189012549 62564348671 145246562109 153567037647 187693046013 415199768453 435739686327 563079138039 1245599305359 1689237414117 3736797916077 4567197452983 11210393748231 13701592358949 41104777076847 123314331230541